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Area of Quadrilaterals

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by

Mr Mattock

on 2 December 2017

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Transcript of Area of Quadrilaterals

Area of Quadrilaterals
Starter
Area of a parallelogram.
Area of a Kite
L.O. - To find the area of different named quadrilaterals.
base
height
Area = base x height
Does the area of the rectangle change when it changes into a parallelogram?
What does that mean for how we calculate the area of a parallelogram?
A kite is made up of two triangles.

Which line is the base of both
triangles?

What is the combined height of
both triangles?

Therefore what is the combined
area of both triangles (i.e. the area
of the kite)?
a
b
h
Two of these trapezia can
be put together to create
a parallelogram.
a
a
h
b
b
What is the base of the parallelogram?

What is the area of the parallelogram?

What is the area of a single trapezium?
Area of a Trapezium (Level 7)
Area of Quadrilaterals
Area of a Parallelogram
= base x height.
height
base
diagonal 2
diagonal 1
Area of a Kite =
diagonal 1 x diagonal 2 2
a
height
b
Area of Trapezium =
(a + b) x height 2
Sheet Answers:

(1) 12 cm (2) 36 cm (3) 96 m (4) 12.8 m

(5) 51 mm (6) 300 mm (7) 45.5 m (8) 58.5 mm

(9) 20 Km (10) 42 m (11) 60 cm (12) 25.2 cm
2
2
2
2
2
2
2
2
2
2
2
2
Always/Sometimes/Never
If a triangle and a trapezium have the same base
they will have the same area.


If a parallelogram and a trapezium have the same base they will have the same area.


If a triangle and a trapezium have the same base
and height the trapezium will have more area.
Area of Quadrilaterals
4 cm
7 cm
16 mm
9 mm
3 m
7 m
9 m
Area of Quadrilaterals
4 cm
7 cm
16 mm
9 mm
3 m
7 m
9 m
Area = 4 x 7 = 28cm
Area = 9 x 16/2 = 72 mm
Area = (3+9) x 7/2 = 42 m
2
2
2
Starter
(a) 30 cm
(b) 10.825 cm
(c) 64.95 cm
2
2
Activity
Complete the area sheet.
Always/Sometimes/Never
If a triangle and a trapezium have the same base
they will have the same area.
Sometimes

If a parallelogram and a trapezium have the same base they will have the same area.
Sometimes

If a triangle and a trapezium have the same base
and height the trapezium will have more area.
Always
Activities
Activity
Answers

Key
Examples
and
Notes

Worked
Example
Full transcript