Area of Compound Shapes worksheet
10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
-
5 marks
Here is an L-shape. Every corner of the shape is a right angle.
The dashed line splits it into two rectangles.
(a)Work out the area of the shape.
(b)Work out the perimeter of the shape.
-
5 marks
The diagram shows a shape made from two rectangles. Every corner is a right angle.
(a)Work out the length marked \(x\).
(b)Work out the length marked \(y\).
(c)Work out the area of the shape.
-
5 marks
Tomas is covering the floor of his garden with turf. The floor is the L-shape below, and every corner is a right angle.
(a)Work out the area of the floor.
(b)The turf cost £8 for each square metre.
Calculate how much he pays.
-
6 marks
The diagram shows a shape with two vertical sides. The dashed line splits it into a rectangle and a right-angled triangle.
(a)Calculate the perimeter of the shape.
(b)Calculate the area of the shape.
-
5 marks
The diagram shows a rectangle with a rectangular piece cut out of it.
Every corner of the shape is a right angle.
(a)Find the area of the shape.
(b)Find the perimeter of the shape.
-
5 marks
Here is an L-shape. Every corner of the shape is a right angle.
The dashed line splits it into two rectangles.
(a)Find the area of the shape.
(b)Find the perimeter of the shape.
-
5 marks
The diagram shows a shape made from two rectangles. Every corner is a right angle.
(a)Work out the length marked \(x\).
(b)Work out the length marked \(y\).
(c)Work out the area of the shape.
-
5 marks
Leila is covering the floor of her patio with paving slabs. The floor is the L-shape below, and every corner is a right angle.
(a)Calculate the area of the floor.
(b)The paving slabs cost £12 for each square metre.
Calculate how much she pays.
-
6 marks
Here is a shape with two vertical sides. The dashed line splits it into a rectangle and a right-angled triangle.
(a)Work out the perimeter of the shape.
(b)Work out the area of the shape.
-
5 marks
Here is a rectangle with a rectangular piece cut out of it.
Every corner of the shape is a right angle.
(a)Work out the area of the shape.
(b)Work out the perimeter of the shape.
Answers
-
(a) \(124\ \text{cm}^2\)
(b) \(50\ \text{cm}\) -
(a) \(12\ \text{cm}\)
(b) \(5\ \text{cm}\)
(c) \(135\ \text{cm}^2\) -
(a) \(47\ \text{m}^2\)
(b) \(\text{£}376\) -
(a) \(40\ \text{cm}\)
(b) \(90\ \text{cm}^2\) -
(a) \(131\ \text{cm}^2\)
(b) \(54\ \text{cm}\) -
(a) \(90\ \text{cm}^2\)
(b) \(44\ \text{cm}\) -
(a) \(11\ \text{cm}\)
(b) \(8\ \text{cm}\)
(c) \(104\ \text{cm}^2\) -
(a) \(56\ \text{m}^2\)
(b) \(\text{£}672\) -
(a) \(50\ \text{cm}\)
(b) \(117\ \text{cm}^2\) -
(a) \(165\ \text{cm}^2\)
(b) \(68\ \text{cm}\)