In your KS3 Maths adventure with shapes, you'll dive into the world of perimeter and area. Perimeter is the total length of a shape's sides, while area is the size of its surface.

Formulas come in handy for finding perimeters and areas. For instance, in a square, the perimeter is its length multiplied by 4, and the area is length multiplied by width.

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1 .

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}

2 .

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}

3 .

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

4 .

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!

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 .

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

7 .

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

8 .

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

9 .

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

10 .

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

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