As part of your work on shapes in KS3 Maths, you will need to know about perimeter and area. The perimeter is the total length of a shape's sides. The area is the size of a shape's surface.

There are formulae for working out perimeters and areas. Taking a square as a simple example, its perimeter is its length x 4 and its area is its length x its width. The area of a three-dimensional shape is worked out by adding the area of each of its faces together. So, for a cube, work out the area of one of its square faces and then multiply the answer by 6.

This quiz is all about the perimeter and area of 2D shapes; mainly shapes such as squares and rectangles. This will give you some easy practise in calculating perimeters and areas. You might then like to try our more advanced quiz called 'Level 5-6 Perimeter and Area 02'.

1.

Which of the following is not a valid measurement for an area?

102 m^{2}

15 m

18 mm^{2}

52 cm^{2}

Area is always spoken of in terms of 'square' units i.e. 18 square millimetres or 52 square centimetres. In the answers above, 15 m is only a length

2.

Which of the following shapes would you not be asked to find the perimeter or area of?

Rectangle

Sphere

Trapezium

Triangle

A sphere is a 3 dimensional shape. Remember that perimeter and area are only associated with 2 dimensional shapes

3.

What is the perimeter of a rectangle with a length of 28 cm and a width of 16 cm

42 cm

64 cm

74 cm

88 cm

(28 x 2) + (16 x 2) = 56 + 32 = 88

4.

To calculate the area of a rectangle it is necessary to multiply the length by the width; how is this formula usually represented?

A = l x w

e = mc^{2}

L = a/w

W = a/l

Area = length x width

5.

A rectangle is 2 metres long and 88 centimetres wide; what is its area?

0.176 metres^{2}

1.76 metres^{2}

3.52 metres^{2}

176 metres^{2}

Don't mix up the metres and centimetres mentioned in the question

6.

If a square has sides that are 13 cm long, what is its area?

26 cm^{2}

52 cm^{2}

105 cm^{2}

169 cm^{2}

13cm x 13cm = 169cm^{2}

7.

What is the area of a square that has a length of 15 cm and a width of 16 cm?

225 cm^{2}

256 cm^{2}

240 cm^{2}

Not a valid question

If the sides are different sizes then it cannot be a square!

8.

An international football pitch is 105 m x 68 m. What is the area of one half of the pitch?

3,570 metres^{2}

4,624 metres^{2}

7,140 metres^{2}

11,025 metres^{2}

105m x 68m = 7,140 metres^{2} so half the pitch's area is 7,140 metres^{2} ÷ 2 = 3,570 metres^{2}

9.

What is the area of a rectangle with a length of 9 cm and a width of 7 cm?

49 cm^{2}

54 cm^{2}

63 cm^{2}

77 cm^{2}

9 x 7 = 63

10.

A rectangle has a length that is twice its width. If the length is 18 m, what is its perimeter?

36 m

48 m

54 m

72 m

The width of the rectangle must be 9 m