Perimeter & area

Calculating the perimeter and area of rectangles and simple shapes

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Try each question. If you're stuck, leave it and come back. The answer key is on the last page.

1
A square has sides of 5 cm. What is its perimeter? Perimeter = ___ cm
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2
What is the area of a rectangle that is 6 cm long and 3 cm wide? A) 9 cm² B) 18 cm² C) 12 cm² D) 36 cm²
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3
Is this statement true or false? Perimeter is measured in square centimetres (cm²). A) True B) False
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4
A rectangle has a length of 8 cm and a width of 4 cm. What is its perimeter? Perimeter = ___ cm
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5
A rectangle has an area of 24 cm² and a length of 8 cm. What is its width? A) 2 cm B) 3 cm C) 4 cm D) 6 cm
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6
A square garden has a perimeter of 36 m. What is the length of one side? One side = ___ m
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7
Is this statement true or false? Two different rectangles can have the same perimeter but different areas. A) True B) False
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8
A farmer needs to put a fence around a rectangular field that is 25 m long and 15 m wide. Fencing costs £4 per metre. What is the total cost? Total cost = £___
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9
Is this statement true or false? A rectangle with sides 7 cm and 3 cm has a bigger area than a square with sides 4 cm. A) True B) False
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10
A football pitch is 100 m long and 60 m wide. What is its perimeter? Perimeter = ___ m
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Answer key

Perimeter & area · for parents and teachers

1
20
Perimeter = 4 x 5 cm = 20 cm.
2
18 cm²
Area = 6 cm x 3 cm = 18 cm².
3
False
Perimeter is a length, so it is measured in cm (not cm²). Area is measured in cm².
4
24
Perimeter = 2 x (8 + 4) = 2 x 12 = 24 cm.
5
3 cm
Width = 24 / 8 = 3 cm.
6
9
Each side = 36 / 4 = 9 m.
7
True
For example, a 1 cm x 5 cm rectangle (perimeter 12, area 5) and a 2 cm x 4 cm rectangle (perimeter 12, area 8).
8
320
Perimeter = 2 x (25 + 15) = 80 m. Cost = 80 x £4 = £320.
9
True
Rectangle area = 7 x 3 = 21 cm². Square area = 4 x 4 = 16 cm². The rectangle has a bigger area.
10
320
Perimeter = 2 x (100 + 60) = 2 x 160 = 320 m.