Area of compound shapes

Author: Will Haining
Area of compound shapes
Question 1
Work out the area of the shape.
Work out the area of the shape.

Question 2
The diagram shows a shape.
Work out the area of the shape.
The diagram shows a shape.
Work out the area of the shape.

Question 3
Here is a trapezium.
Work out the area of the trapezium.
Here is a trapezium.
Work out the area of the trapezium.

Question 4
The diagram shows a wall with a door in it.
Work out the shaded area.
The diagram shows a wall with a door in it.
Work out the shaded area.

Question 5
The diagram shows a 6-sided shape made from a rectangle and a right-angled triangle.
Work out the total area of the 6-sided shape.
The diagram shows a 6-sided shape made from a rectangle and a right-angled triangle.
Work out the total area of the 6-sided shape.

Question 6
The diagram shows 3 small rectangles inside a large rectangle.
The large rectangle is 10 cm by 8 cm.
Each of the 3 small rectangles is 4 cm by 2 cm.
Work out the area of the region shown shaded in the diagram.
The diagram shows 3 small rectangles inside a large rectangle.
The large rectangle is 10 cm by 8 cm.
Each of the 3 small rectangles is 4 cm by 2 cm.
Work out the area of the region shown shaded in the diagram.

Question 7
Work out the area of the shape.
Work out the area of the shape.

Question 8
The diagram shows a rectangle inside a triangle.
The triangle has a base of 12 cm and a height of 10 cm.
The rectangle is 5 cm by 3 cm.
Work out the area of the region shown shaded in the diagram.
The diagram shows a rectangle inside a triangle.
The triangle has a base of 12 cm and a height of 10 cm.
The rectangle is 5 cm by 3 cm.
Work out the area of the region shown shaded in the diagram.

Question 9
The diagram shows the plan of a field.
The farmer sells the field for £3 per square metre.
Work out the total amount of money the farmer should get.
The diagram shows the plan of a field.
The farmer sells the field for £3 per square metre.
Work out the total amount of money the farmer should get.


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