©TeeJay Publishers General Homework for Book 3G Ch 14 - Areas

this is Chapter Fourteen page 79

Exercise 1

1. Write down the areas (in cm2) of each of the following shapes :–

(a)

(b) (c)

(d) (e)

2. Find the shaded area in each of these :-

(a) (b)

3. Write down the areas of these two shapes :-(a) (b)

Areas HomeworkChapter 14

= 1 cm2

DO NOT MARK THIS

SHAPE

8 cm

6 cm

7 cm

10 cm

13 cm

5cm

7 cm

40 cm

10 cm

10 cm

20 cm

9 cm

20 m

24 m

17 m

20 m

25 m

35 m

©TeeJay Publishers General Homework for Book 3G Ch 14 - Areas

this is Chapter Fourteen page 80

4. Estimate the area of this shapeas carefully as you can in cm2.

Exercise 2

1. Calculate the area of each of the following rectangles.

(in each case, make a small “sketch” of the rectangle,

write down the rule “A = l x b” and calculate the area in cm2 ).

(a) (b) (c)

(d) (e) (f)

2. Calculate the area of carpet needed for each of these ballrooms :-

(a) (b) (c)

©TeeJay Publishers General Homework for Book 3G Ch 14 - Areas

this is Chapter Fourteen page 81

Exercise 2E (a)

1. Make a neat sketch of this parallelogram.

Use the formula, A = b x h,to calculate its area. (in cm2)

2. Make a small neat sketch of each parallelogram here and calculate each area :–(Does NOT have to be full size)

(a) (b)

(c) (d)

(e) (f)

3. The sign on the side of this van is in the shapeof a parallelogram.

Calculate the area of the sign.

12 cm

7 cm

9 cm

7 cm

18 cm

15 cm

15 mm

20 mm

4 cm

3·5 cm

2·0 cm0·9 cm

50 m

8 m

TEEJAYPUBLISHERS

2·4 m

0·8 m

©TeeJay Publishers General Homework for Book 3G Ch 14 - Areas

this is Chapter Fourteen page 82

4. (a) Which has the bigger area, the square or the parallelogram ?

(b) By how much ?

5. The AREA of this parallelogram is 84 cm2.

Calculate what its height must be.

Exercise 2E (b)

1. (a) Make a small neat sketch of this rhombus.

(b) Draw in the (dotted) surrounding rectangle.

(c) Calculate the area of the rectangle.

(d) Now calculate the area of the rhombus.

2. Make a neat sketch of each rhombus here, showing the surrounding rectangle.

Calculate the area of the rectangle, then the area of the rhombus :–

(a) (b) (c)

9 cm

7 cm

8 cm

8 cm

12 cm

6 cm

11 cm

5 cm

15 mm

8 mm 2·5 cm1·2 cm

12 cm

h = ?

©TeeJay Publishers General Homework for Book 3G Ch 14 - Areas

this is Chapter Fourteen page 83

3. (a) Make an accurate drawingof this kite using a ruler.

(b) Calculate the area of thesurrounding rectangle.

(c) Now calculate the areaof the kite.

4. Make a neat sketch of each kite here, showing the surrounding rectangle.

Calculate the area of the rectangle, then the area of the kite :–

(a) (b) (c)

5. By how much is the area of the rhombus bigger than that of the kite ?

12 mm

20 mm

10 cm

6·4 cm

7 cm

12 cm

2 cm6 cm

2·5 cm

2·5 cm

15 cm

10 cm

20 cm

8 cm

©TeeJay Publishers General Homework for Book 3G Ch 14 - Areas

this is Chapter Fourteen page 84

Exercise 3

1. (a) Make an accurate drawing ofthis right angled triangle.

(b) Complete the figure by drawingthe surrounding rectangle.

(c) Calculate the area of the rectangle.

(d) Now write down the area of the triangle.

2. For the following right angled triangles :–

(i) make a small neat sketch (ii) draw the surrounding rectangle

(iii) find the area of the rectangle (iv) calculate the area of the triangle

(a) (b) (c)

3. Sketch each right angled triangle (roughly, but using a ruler).

Use the formula, A =

€

12 (l x b) to calculate the area each time.

(a) (b)

(c) (d)

4. This corner shelf is in the shape of a right angled triangle.

Calculate the areaof the triangle.

5 cm

4 cm

6 cm

10 cm 11 cm

4 cm6 cm

6 cm

10 cm

7 cm

13 cm

20 cm

9 cm

16 cm24 cm

7 cm

32 cm

20 cm

©TeeJay Publishers General Homework for Book 3G Ch 14 - Areas

this is Chapter Fourteen page 85

Exercise 4

1. (a) Make an accurate drawing of this triangle.

(b) Draw the surrounding rectangle.

(c) Calculate the area of the rectangle.

(d) Now write down the area of the triangle.

2. Use the formula Area =

€

12 (l x b) each time to calculate the areas of the

following triangles (make a neat sketch of each triangle) :–

(a) (b) (c)

(d) (e) (f)

3. Which of the two sails from the yachthas the bigger area and by how much is it bigger than the other one ?

4. Calculate the shaded area of this triangle.

5 cm

4 cm

6 cm

12 cm

20 cm

14 cm16 cm

13 cm

14 cm

14 cm

9 cm

7 cm

4 m

5 m

Sail A 7 m

3 m

Sail B

11 mm

6 mm

8 cm

7·5 cm

©TeeJay Publishers General Homework for Book 3G Ch 14 - Areas

this is Chapter Fourteen page 86

Exercise 5

1. (a) Calculate the area of the big rectangle (A).

(b) Calculate the area of the small rectangle (B).

(c) Calculate the total area of the shape.

2. For each of these :– (i) Make a neat sketch.

(ii) Calculate the area of each part (show working).

(iii) Calculate the area of the whole shape.

(a) (b) (c)

(d) (e)

8 cm

3 cm

7 cm

7 cm AB

9 cm

20 cm

7 cm

15 cm

25 cm

6 cm

15 cm

8 cm

12 cm

25 cm

5 cm

5 cm

12 cm

4 cm

10 cm

30 m

6 m

20 m

©TeeJay Publishers General Homework for Book 3G Ch 14 - Areas

this is Chapter Fourteen page 87

Exercise 6E

1. (a) Make a neat sketch of this trapezium.(it does not need to be accurate).

(b) Draw in the diagonal line (dotted).

(c) Calculate the area of ΔX and ΔY.

(d) Calculate the overall area of the trapezium.

2. Make a neat sketch of each of the following trapezia (plural of trapezium) andcalculate the area of each :–

(a) (b)

(c)

3. Calculate the area of this shapeby splitting it into three shapes, a rectangle and two trapezia.

18 cm

15 cm

12 cm

5 cm

7·4 cm6·2 cm

10 cm

8 cm

6 cm

6 cm

3 cm

3 cm

15 cm

10 cm

X

Y8 cm

12 mm

10 mm

9 mm