Geometric calculations

Areas of figures

Types of exercises: area of a composite shape, height of a triangle from its area, height of a trapezium from its area, area of a shape on a grid.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Problem

An L-shape is made by cutting a 5 cm × 2 cm rectangle out of one corner of a 12 cm × 6 cm rectangle. How many square centimetres is the area of the L-shape?

2

Problem

A triangle has an area of 78 cm², and its base is 13 cm long. How many centimetres is the height to that base?

3

Problem

The drawing shows a triangle on a grid. Each grid square has sides of 1 cm. How many square centimetres is the area of this shape?

A triangle drawn on a grid
4

Problem

A trapezium has an area of 120 m², and its parallel sides are 16 m and 4 m long. How many metres is its height?

5

Problem

A photo frame is a 9 cm × 17 cm rectangle with a 7 cm × 15 cm rectangular hole in the middle. How many square centimetres is the area of the frame?

6

Problem

A triangle has an area of 45 m², and its base is 6 m long. How many metres is the height to that base?

7

Problem

The drawing shows a rhombus on a grid. Each grid square has sides of 1 cm. How many square centimetres is the area of this shape?

A rhombus drawn on a grid
8

Problem

A trapezium has an area of 78 cm², and its parallel sides are 14 cm and 12 cm long. How many centimetres is its height?

9

Problem

A shape is made of two rectangles that touch along a side and do not overlap. One measures 8 cm × 4 cm and the other 11 cm × 3 cm. How many square centimetres is the area of the shape?

10

Problem

A triangle has an area of 152 m², and its base is 16 m long. How many metres is the height to that base?

This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.

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Areas of figures - exercises with solutions (Geometric calculations) | PhiBoard