Parallelogram
and
trapezium
WALT:
14/10/2019
Calculate the area of a parallelogram and trapezium.
Level 6/7
WILF:
Is the answer to:
Work out the area of
this shape.
Is the answer to:
Find the parallelogram.
Keywords
Level 5
Area
Base
Is the answer to:
Work out the area of the
shaded trapezium.
Level 7
Level 6
Perpendicular
Parallelogram
Trapezium
Maths Links 8B:
Ex2e: Page 27
PowerPoints:
Lesson TES
Worksheets:
Parallelograms TES
Discovering Areas TES
Games:
Group Work:
NRICH:
Area of parallelograms
Area of a Parallelogram and Trapezium
14/10/2019
Starter:
Find the area of these triangles
12cm2
4cm
20cm2
6cm
1cm
5cm
3.5cm2
7cm
8cm
Area of a Parallelogram and Trapezium
Definitions:
Area:
the amount of space inside a 2D shape
14/10/2019
(cm2/m2)
Area of a Parallelogram and Trapezium
14/10/2019
Investigation:
What is the area of this rectangle?
4cm
6cm
Area of a Parallelogram and Trapezium
14/10/2019
Investigation:
Cut the shape like this
4cm
6cm
Area of a Parallelogram and Trapezium
Investigation:
What is the area of this rectangle?
14/10/2019
Area of a Parallelogram and Trapezium
Investigation:
Cut the shape like this
14/10/2019
Area of a Parallelogram and Trapezium
14/10/2019
Investigation:
What is the area of this parallelogram
4cm
6cm
Area of a Parallelogram and Trapezium
14/10/2019
Formula:
The formula for the area of a parallelogram is:
Area  b  h
Height (h)
Base (b)
Area of a Parallelogram and Trapezium
14/10/2019
Example:
Find the area of this parallelogram
Area  b  h
4cm
Area  5 4
Area  20cm
5cm
2
Activity 1:
1
Find the area of the following parallelograms
a
b
2
15cm
3cm
7mm 2
49mm
5cm
d
5m
3cm
2
13.5cm
8m2
40m
7mm
4.5cm
Find the missing lengths of these parallelograms when given the area
a
b
a
24cm
4cm 2
6cm
c
35cm2
5cm7cm
b
Find the area of this shape
8cm
4cm
5cm
6cm
10cm
41cm2
d
c
2
46cm
4.6cm
d
18mm2
4mm
4.5mm
10cm
Problem Solving
2
3
c
Below illustrates a garden which needs to be
seeded with grass. The grass seeds costs
£8.50 per packet and covers 15m2.
40m2
5m
8m
3 packs
Work out the cost to cover the£25.50
garden with
grass seeds.
Area of a Parallelogram and Trapezium
14/10/2019
Investigation:
Here are two trapeziums that are the same
A
A B
B
B A
h
Area of a Parallelogram and Trapezium
14/10/2019
Investigation:
Here are two trapeziums that are the same
A
B
B
A
h
Area of a Parallelogram and Trapezium
14/10/2019
Investigation:
Creates a Parallelogram
Area  (a  b)  h
A
B
B
A
h
Area of a Parallelogram and Trapezium
14/10/2019
Investigation:
Creates a Parallelogram
A
Area  (a  b)  h
B
However area of the trapezium is
half the size:
h
B
1
Area   (a  b)  h
2
A
Area of a Parallelogram and Trapezium
14/10/2019
Formula:
The formula for the area of a trapezium is:
a
1
Area   (a  b)  h
2
Area = ½ the parallel sides times by
the distance between the two sides
Height (h)
b
Area of a Parallelogram and Trapezium
14/10/2019
Example:
3cm
Find the area of this trapezium.
1
Area  (a  b)  h
2
1
Area   (3  5)  4
2
2
Area  16cm
4cm
5cm
Activity 2:
1
Find the area of the following trapeziums
7mm
6cm
a
b
c
2
35m5m
30mm
6mm2
5cm2
35cm
5m
d
14m2 3m
4m
9m
3mm
4m
8cm
2 Find the missing lengths of these trapeziums when given the area
4cm
5m
8mm
a
b
c
7mb
40cm2
9m
6cm
Find the area of this shape
6cm
5cm
8cm
10cm
35cm
6cm
5cm
426cm2
4cm
7mm
4mm
42mm2
c
Problem Solving
15cm
3
49m2
The diagram shows the cross-section
of a wall of a cinema. It is to be
221m2
painted. Paint cost £6 for a tin which
covers 25m2. How much will it cost to
£54
paint?
27m2
a
8cm
130m2
64m2
Area of a Parallelogram and Trapezium
14/10/2019
Plenary:
Find the area of this shape
6cm
7cm
3cm
Parallelogram
and
trapezium
WALT:
14/10/2019
Calculate the area of a parallelogram and trapezium.
Level 6/7
WILF:
Is the answer to:
Work out the area of
this shape.
Is the answer to:
Find the parallelogram.
Keywords
Level 5
Area
Base
Is the answer to:
Work out the area of the
shaded trapezium.
Level 7
Level 6
Perpendicular
Parallelogram
Trapezium