Area of a rectangle
description
Transcript of Area of a rectangle
S5 Int 1
Area of a rectangle
Area of composite shapes
Area of a right-angled triangle
ww
w.m
ath
srevis
ion
.com
Simple Areas
Area of a circle
S5 Int 1
Starter QuestionsStarter Questions
www.mathsrevision.comwww.mathsrevision.comww
w.m
ath
srevis
ion
.com 1. 39.7 - 22.3
2. Calculate 25% of 824
3. What is the name of the shape will this net make.
4. Calculate the value of the missing angle.
34o
S5 Int 1
Area of a RectangleArea of a Rectangle
www.mathsrevision.comwww.mathsrevision.comww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To be able to state area To be able to state area formula for a rectangle.formula for a rectangle.
1. To come up with a formula
for the area of a rectangle.
2. Use the formula to solve problems.
2.2. Apply formula correctly. Apply formula correctly. (showing working)(showing working)
3.3. Answer containing Answer containing appropriate unitsappropriate units
S5 Int 1
Problem…
General Jack’s Carpets
Only £5 a square metre!
How much for this one? ?
ww
w.m
ath
srevis
ion
.com
S5 Int 1
ww
w.m
ath
srevis
ion
.com
3 rows of 6 squares
Problem…
6 square metres
6 square metres
6 square metres
= 3 x 6 = 18 square metres
= 1 square metre
3 m
6 m
1m
1m
How much for 18 square metres?
18 x £5 = £90
S5 Int 1
Area of a rectangle
6 = 18 m²
3 m
6 m
3
6
Area = length
x breadth
length
breadth
x 3
ww
w.m
ath
srevis
ion
.com
S5 Int 1
Now try TJ Int 1 Chapter Ex Page
ww
w.m
ath
srevis
ion
.com
Area
S5 Int 1Example
111 cm
6 cm
Area = length x breadth
A = l x b
A = 11 x 6
A = 66 cm²
ww
w.m
ath
srevis
ion
.com
Find the area of the rectangle
S5 Int 1
Example 2
12 cm
Area = length x breadth
A = l x b
A = 12 x 12
A = 144 cm²
ww
w.m
ath
srevis
ion
.com
Find the area of the square
S5 Int 1
Starter Starter QuestionsQuestions
www.mathsrevision.comwww.mathsrevision.comww
w.m
ath
srevis
ion
.com 1. 324.45 + 79.6
2. Calculate 30% of 200
3. What is the name of the shape will this net make.
4. Calculate the value of the missing angle.
123o
S5 Int 1
Area of A Right-Angled Triangle
www.mathsrevision.comwww.mathsrevision.comww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Know area of a right-Know area of a right-angled triangle formulaangled triangle formula
1. Use the area of a Use the area of a rectangle formula to rectangle formula to help help us to come up us to come up with a with a formula formula to calculate the to calculate the area of any right-angled area of any right-angled
triangle.triangle.
2.2. Use formula to work out Use formula to work out area of triangle.area of triangle.
3.3. Show all working and Show all working and units.units.
S5 Int 1
Area of a right-angled triangle
Area of rectangle= l x b = 28 cm²
4 cm
7 cm
= 7 x 4
Area of triangle
= 14 cm²
= ½ x 28
= ½ x Area of rectangle
ww
w.m
ath
srevis
ion
.com
S5 Int 1
Area of triangleShort cut
4 cm
7 cm
Area of triangle = 14 cm²
= ½ x 28
= ½ x 7 x 4
Area Δ = x base x height
½
base
height
ww
w.m
ath
srevis
ion
.com
S5 Int 1
Example 1
10 cm
15 cm
Area Δ=½ x base x height
AΔ =½ x b x h
AΔ = ½ x 15 x 10
AΔ = 75 cm²
ww
w.m
ath
srevis
ion
.com
Find the area ofthe triangle
S5 Int 1
Example 2
12 cm
8 cmArea Δ=½ x base x height
AΔ =½ x b x h
AΔ = ½ x 8 x 12
AΔ = 48 cm²
ww
w.m
ath
srevis
ion
.com
Find the area ofthe triangle
S5 Int 1
Now try TJ Int 1 Chapter Ex Page
ww
w.m
ath
srevis
ion
.com
Area
S5 Int 1
Starter Starter QuestionsQuestions
www.mathsrevision.comwww.mathsrevision.comww
w.m
ath
srevis
ion
.com
x1. 39 - 2 3
2. Calculate 15% of 360
3. Round to 1 decimal place 75.6299
4. Calculate the value of the missing angle.
123o
S5 Int 1
Area of circle
www.mathsrevision.comwww.mathsrevision.comww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. Know area of a circle Know area of a circle formulaformula
1. Use the area of a Use the area of a circle formula to circle formula to calculate the area of calculate the area of different size circles, different size circles, semi-circles and quarter semi-circles and quarter circles.circles.
2.2. Use formula to work out Use formula to work out area of different size area of different size circles, semi-circles and circles, semi-circles and quarter circles.quarter circles.
3.3. Show all working and Show all working and units.units.
S5 Int 1
Area of a circleArea of a circle
Thursday 20 April 2023Thursday 20 April 2023 Created by Mr Lafferty Created by Mr Lafferty 1919
Q. Find the area of the circle ?
SolutionSolution
2A r 210A
2314A cm
10cm
ww
w.m
ath
srevis
ion
.co
m
S5 Int 1
The Area of a The Area of a circlecircle
Thursday 20 April 2023Thursday 20 April 2023 Created by Mr Lafferty Created by Mr Lafferty 2020
Q. Find the area of the circle ?
SolutionSolution
2A r 24A
250.26A cm
4cm
ww
w.m
ath
srevis
ion
.co
m
S5 Int 1
The Area of a The Area of a circlecircle
Thursday 20 April 2023Thursday 20 April 2023 Created by Mr Lafferty Created by Mr Lafferty 2121
Q. The diameter of the circle is 60cm. Find area of the circle?
SolutionSolution
2A r60
302 2D
r cm
230A22827.43A cmw
ww
.math
srevis
ion
.co
m
S5 Int 1
The Area of a The Area of a circlecircle
Thursday 20 April 2023Thursday 20 April 2023 Created by Mr Lafferty Created by Mr Lafferty 2222
Find the area of the semi-circle ?
Solution
212
A r
2157Area cm
2110
2Area
1
10 102
Area
ww
w.m
ath
srevis
ion
.co
m
S5 Int 1
length of the length of the arc of a circlearc of a circle
Thursday 20 April 2023Thursday 20 April 2023 Created by Mr Lafferty Created by Mr Lafferty 2323
Find the area of the quarter circle ?Solution
214
Area r
218
4Area
250.3Area cm
8cm
1
8 84
Area
ww
w.m
ath
srevis
ion
.co
m
S5 Int 1
Now try TJ Int 1 Chapter Ex Page
ww
w.m
ath
srevis
ion
.com
Composite shapes
S5 Int 1
Starter Starter QuestionsQuestions
www.mathsrevision.comwww.mathsrevision.comww
w.m
ath
srevis
ion
.com 1. 35.6 + 45.5
2. Calculate 25% of 1000
3. What is the name of the shape will this net make.
4. Calculate the value of the missing angle.
34o
S5 Int 1
Area of a Area of a CompositeComposite
www.mathsrevision.comwww.mathsrevision.comww
w.m
ath
srevis
ion
.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria
1.1. To be able to use To be able to use knowledge gained so far knowledge gained so far to find the area of more to find the area of more complicated shapes..complicated shapes..
1. To use knowledge to find area of more complicate shapes.
2.2. Show appropriate Show appropriate working.working.
Made up ofSimple shapes
S5 Int 1
?
Composite shapes
6 cm
10 cm
13 cm?3
cm
ww
w.m
ath
srevis
ion
.com
S5 Int 1
6 cm
6 cm?
10 cm
(1) (2)
Area (1)= l x b = 60 cm²
= 10 x 6
Area (2) = 9 cm² = ½ x 3 x 6
= ½ x b x h
Area of shape= (1) + (2)
= 69 cm²
= 60 + 9
3 cm
ww
w.m
ath
srevis
ion
.com
Composite shapes
S5 Int 1
ExampleArea (1)= =15 x 8
Area (2) = l x b
l x b
= 120 cm²
=9 x 3= 27 cm²
Area of shape =(1) + (2)
= 120 + 27
= 147 cm²
15cm
11
cm
6cm 3cm
(1)
(2)
?9cm
8cm?
Find the area of the shape
S5 Int 1
ExampleArea (1)= =20 x 12
Area (2) = l x b
12cm
20cm10cm
6cm
(1)
(2)
l x b
= 240 cm²
=10 x 6= 60 cm²
Area of shape =(1) – (2)
= 240 -60
= 180 cm² Find the area ofthe shape
S5 Int 1
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.com
Mixed ProblemsMixed Problems
Example : Find the area of the shape
20cm
5 cm
Area = rectangle + semicircle
21
2A l b r
2120 5 10
2( )A
100 157 A 2257 cmA
S5 Int 1
20 Apr 202320 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww
w.m
ath
srevis
ion
.com
Mixed ProblemsMixed Problems The Circle
Example : A circle is contained in a square.Find the grey shaded area below.
Area = square - circle2 2 -A l r
28 8 4- ( )A
64 - 50.24A 213 76 cm.A
8cm
S5 Int 1
Now try TJ Int 1 Chapter Ex Page
ww
w.m
ath
srevis
ion
.com
Composite shapes