Tp5 Rectangle Triangles
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Transcript of Tp5 Rectangle Triangles
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Topic Equations
Class 8
Calculate the area of each of the following rectangles by counting the number
of squares (assuming each square is 1cm2)
1.
2.
3.
4.
5.
6.
Calculate the area of each of the following shapes:
7.
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8.
9.
10.
11.
12.
13.
14.
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15.
16.
17.
18.
19. Which has the largest area?
20. Which figure has the largest area?
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21. Which figure has the largest area?
22. Find the perimeter of a triangle with sides measuring 5 centimeters, 9 centimeters
and 11 centimeters.
23. A rectangle has a length of 8 centimeters and a width of 3 centimeters. Find the
perimeter
24. Find the perimeter of a square with each side measuring 2 inches?
25. Find the perimeter of an equilateral triangle with each side measuring 4
centimeters.
26. Find the perimeter of the given figure?
27. Find the area of the given figure?
28. Find the perimeter of the given figure?
29. Find the area of the given figure?
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30. Find the length of side x
31. Find the perimeter of the rectangle?
32. Find the perimeter of the rectangle?
33. Find the perimeter of the square?
34. Find the area of the triangle?
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35. Find the length of the base?
36. Find the perimeter and area of a right triangle if one leg measures 5 cm and the
other leg measures 12 cm.
37. Find the perimeter of the figure?
38. Find the perimeter of the figure?
39. Find the perimeter of the figure?
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40. Find the perimeter of the figure?
41. Find the perimeter of the figure?
42. Find the perimeter of the figure?
43. Find the perimeter of the figure?
44. Find the perimeter of the figure?
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45. Find the perimeter of the figure?
46. Find the area of the triangle?
47. Find the area of the triangle?
48. Find the area of the triangle?
49. Find the area of the triangle?
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50. Find the area of the triangle?
51. Find the area of the triangle?
52. Find the area of the triangle?
53. Find the area of the triangle?
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54. Find the area of the triangle?
55. Find the area of the triangle?
56. Find the area of the triangle?
57. Find the area of the triangle?
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58. Find the area of the triangle?
59. Find the area of a triangle with a base of 12 cm and a height of 7 cm.
60. Find the area of a triangle with a base of 30 cm and a height of 20 cm.
Find the perimeter and area of the given figure?
61.
62.
63.
64.
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65.
66.
67.
68.
69. The length and the breadth of a rectangular piece of land are 500 m and 300 mrespectively. Find its area and the cost of the land, if 1 m2 of the land costsRs.10,000
70. Find the area of a square park whose perimeter is 320 m?
71. Find the breadth of s rectangular plot of land, if its area is 440 m2and the lengthis 22 m. Also find its perimeter?
72. The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find itsbreadth, and the area of the sheet?
73. The area of a square park is the same as that of a rectangular park. if the side of
the square park is 60 m and the length of the rectangular park is 90 m, find hebreadth of the rectangular park?
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74. A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. Ifthe same wire is rebent in the shape of a square, what will be the measure ofeach side? Also find which shape encloses more area?
75. The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm,find its length. Also find he area of the rectangle?
76. A door of length 2 m and breadth of 1 m is fitted in a wall. The length of the wallis 4.5 m and the breadth is 3.6 m. Find the cost of painting the wall, if the rate ofpainting the wall is Rs.20 per m2?
Find the area of the following triangles?
77.
78.
79.
80.
81. Find the missing values:
S. No. Base Height Area of triangle
a 15 cm ? 87 cm
b ? 31.4 mm 1256 mm
2
c 22 cm ? 170.5 cm
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82.ABC is a right angled triangle. AD is perpendicular to BC. If AB = 5 cm, BC =
13 cm and AC = 12 cm, Find the area of ABC. Also find the length of AD?
83.ABC is isosceles with AB = AC = 7.5 cm and BC = 9cm. The height AD from A
to BC is 6cm. Find the area of the ABC. What will be the height of CE?
84. A garden is 90 m long and 75 m wide. A path 5m wide is to be built outside and
around it. Find the area of the path?
85. A 3 m wide path runs outside and around a rectangular park of length 125 m and
breadth 65 m. Find the area of the path?
86. A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a
margin of 1.5 cm along each of its sides. Find the total area of the margin?
87. A verandah width 2.25 m is constructed all along outside a room which is 5.5 m
long and 4 m wide. Find the area of the verandah and the cost of cementing the
floor @ Rs.200 per m2
88. A path 1 m wide is built along the border and inside a square garden of side 30m.
Find the area of the path and the cost of planting carpet grass in the remaining
portion of the garden @ Rs.40 per m2.
89. Two cross roads, each of width 10 m cut at right angles through the centre of a
rectangular park of length 700 m and breadth 300 m and parallel to its sides.
find the area of the roads. and the area of the park excluding cross roads?
90. Through a rectangular field of length 90m and width 60 m, two roads areconstructed which are parallel to the sides and cut each other at right angles
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through the centre of the fields. If the width of each road is 3m, find the area
covered by the roads and the cost of constructing the roads @ Rs.110 per m2?
91. Calculate the total area of the given figure:
92. Find the total area of the given figure:
93. Find the total area of the given figure:
94. Calculate the area of the shaded region?
95. Calculate the area of the shaded region?
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96. In the given figure the rectangular mouth is 14 mm long and 4 mm wide. The
triangular nose has a base of 6 mm and height of 4 mm. Each small rectangular
eye has length 5 mm and width 2 mm. Find the area of the shaded region?
97. A bedroom is 3 m by 3 m. How many square metres of carpet is needed to cover
the floor of the room?
98. A bedroom is 2.6 m by 2.8 m. How many square metres of carpet is needed to
cover the floor of the room?
99. What is the area of a bedroom wall that is 2.6 m wide by 1.2 m high? Roughly
how much paint is needed for two coatings of the wall (A litre of paint will cover
15 m2 on average)?
100. A kitchen bench top is 1.1 m by 2.3 m. How many square metres of laminate
is needed to cover the top of the bench?
101. A rectangular paddock is 124 m by 110 m. What is the area of the paddock in
square metres and hectares (1 hectare = 10 000 m2)?
102. The builder wants to put a 2 m wide concrete path around the outside of a 12
m square building. What is the area of the path?
Find the area of the purple triangle inside each rectangle:
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103.
104.
105.
106.
107.
108.
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Calculate the area of each of the following triangles:
109.
110.
111.
112.
113. A triangular road sign has a base of 90 cm and a perpendicular height of 120
cm. What is the area of the road sign?
114. A scarf has a triangular shape with a base of 120 cm and a perpendicular
height of 50 cm. What area of material was used to make the scarf?
115. The front gable of a house has a triangular shape with a base of 4 m and a
perpendicular height of 2 m. What is the area of the gable?
116. A paddock, in the shape of a triangle, has a base of 200 m and a
perpendicular height of 50 m. What is the area of the paddock in square metres
and hectares (1 hectare = 10 000 m2)?
117. A paddock, in the shape of a triangle, has a base of 650 m and a
perpendicular height of 450 m. What is the area of the paddock in square metres
and hectares?
Calculate the area of each of the following composite shapes:
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118.
119.
120.
121.
122.
123.
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124.
125.
126.
127. A rectangular paddock has been roughly measured as 300 m 10 m by 450
m 10 m.
a) What is the largest possible area of the paddock?
b) What is the smallest possible area of the paddock?
c) If the value of land is Rs.18,000 per hectare, what is the largest value of the
paddock?
128. The cliff sign has a base of 0.8 m and a perpendicular height of 0.9 m. How
much sheet metal is needed to make 100 cliff warning signs?
129. A company has an offer to supply and install a laminate floor for Rs.54.50 per
square metre. How much will it cost to laminate the floor?
130. The total area of the purple rectangles in the middle is 16 m2. What is the total
area of the yellow rectangles?
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131. The yellow rectangle is 5 cm by 5 cm. What is the area of the triangle?
132. A farm is made up of 3 paddocks. What is the total area of the farm?
133. The area of the rectangle is 72 m2. What is the length of the rectangle?
134. If the perpendicular height of a triangle has been tripled, what has happened
to the area of the triangle?
135. If the length of a rectangle has been doubled and the width tripled, what has
happened to the area of the rectangle?
136. The two rectangles overlap. What is the area of the overlap?
137. A 3 cm border is cut from a rectangular sheet of paper so that the remaining
rectangle has an area one-quarter of the original rectangular sheet of paper. If
the length was 12 cm what was the breadth?
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138. A company has an offer to supply and install carpet at Rs.68.90 per square
metre. How much will it cost to carpet the lounge?
139. A rectangular paddock has been roughly measured as 400 m 10 m by 450
m 10 m. .a) What is the largest possible area of the paddock? b) What is the
smallest possible area of the paddock? c) If the value of land is Rs.28 000 per
hectare, what is the largest value of the paddock?
140. A square and a rectangular field with measurements as given in the figure
have the same perimeter. Which field has a larger area?
141. Mrs. Kaushik has a square plot with the measurement as shown in the figure.
She wants to construct a house in the middle of the plot. A garden is developed
around the house. Find the total cost of developing a garden around the house at
the rate of Rs 55 per m2.
142. The length of a rectangle is 2 times its width. The area of the rectangle is 72
cm2. Find the dimensions of the rectangle.
143. The length of a rectangular garden is 4m more than its width. The area of the
garden is 60 m2. Find the dimensions of the garden.
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144. The length of a rectangle is 3 centimeters more than the width. The area is
108 cm2. Find-the length and width of the rectangle.
145. One leg of a right triangle is one inch shorter than the other leg. If thehypotenuse is 5 cm, find the length of the shorter leg.
146. The perimeter of a triangle is 55in. The second side is twice as long as the
first side. The third side is five more than the second side. What are its
dimensions?
147. The perimeter of a triangle is 22cm. The first side is one more than twice as
long as the second side. The third side is three times as long as the first side.
What are its dimensions?
148. The perimeter of a triangle is 60cm. Side a of the triangle is three times as
long as side b. Side c is twice as long as side b. What are its dimensions?
149. The width of a rectangle is half as long as the length. If its perimeter is 15 cm,
find the dimensions of the rectangle.
150. The length of a rectangle is 1 more than 3 times the width. If its perimeter is
34 cm, find the dimensions of the rectangle.
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Answer Key:
1. 4 cm2
2. 9 cm2
3. 15 cm2
4. 12 cm2
5. 16 cm2
6. 18 cm2
7. 25 m2
8. 1600 m2
9. 99 mm2
10.432 m
2
11.21 km2
12.2.76 km2
13.1600 cm2
14.99 mm2
15.72 cm2
16.70 cm2
17.35 cm2
18.32 cm2
19.c has the largest area.
20.b has the largest area.
21.b has the largest area
22.25 cm
23.22 cm
24.8 inches
25.12 cm
26.20 cm
27.25 cm2
28.26 cm
29.40 cm2
30.11 cm
31.32 cm
32.32 cm
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33.48 cm
34.6 cm2
35.8 cm
36.30 cm2
37.36
38.23
39.34
40.30
41.34
42.44
43.22
44.28
45.38
46.12 cm2
47.25 cm2
48.30
49.24
50.22.5
51.18
52.48
53.35
54.27
55.28
56.20
57.8
58.70
59.42 cm2
60.300 cm2
61.46ft, 120 ft2
62.46 ft, 130 ft2
63.58 ft, 190 ft2
64.68m, 169 m2
65.38m, 68 m2
66.71m, 124 m2
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67.65m, 176m2
68.64m, 120m2
69.150000 m2, Rs.1500000000
70.6400 m2
71.20 m, 84 m2
72.15 cm, 525 cm2
73.40 m
74.31 cm, Square shape
75.35 cm, 1050 cm2
76.Rs.284
77.6 cm2
78.8 cm2
79.6 cm2
80.3 cm2
81.a) 11.6 cm, b) 80 mm, c) 15.5 cm
82.30 cm2, 4.6 cm
83.27 cm2, 7.2 cm
84.1750 m2
85.8125 m2
86.30 cm2
87.63 m2, Rs.12,600
88.116 m2, Rs.31,360
89.21000 m2, 200100 m2
90.441 m2, Rs.48,510
91.48m2
92.24 cm2
93.32 cm2
94.42 m2
95.500 m2
96.248 mm2
97.9 m2
98.7.28 m2
99.3.12 m2
, 0.416 litres
100. 2.53 m2
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101. 13640 m2, 1.364 hectare
102. 112 m2
103. 27 mm2
104. 75 cm2
105. 150 m2
106. 45.5 cm2
107. 36 m2
108. 27.5 mm2
109. 70 cm2
110. 35 mm2
111. 14 m2
112. 67.5 cm2
113. 5400 cm2
114. 5400 cm2
115. 4 m2
116. 0.5 hectares
117. 146250 m2, 14.625 hectares
118. 81 m2
119. 486 cm2
120. 177 cm2
121. 105 m2
122. 200 cm2
123. 3570 cm2
124. 2138.5 cm2
125. 180.5 m2
126. 209.5 cm2
127. 1,42,600 m2, 1,27,600 m2, Rs.2,56,680
128. 36 m2
129. 23.13 m2, Rs.1261
130. 84 m2
131. 4.5 cm2
132. 9.75 ha.
133. 6 m
134. tripled
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135. 6 times larger
136. 2a2
137. 12 cm
138. Rs.565
139. 188600 m2, 171600 m2, Rs.5,28,080
140. a would have larger area.
141. Rs 17,875
142. length = 12 cm and width = 6 cm
143. length = 10 m and width = 6 m
144. length = 12 cm and width = 9 cm
145. 3 cm
146. 10, 20 and 25
147. 5, 2, and 15
148. 30, 10 and 20
149. 5 and 2.5 cm
150. 4 and 13