AQA · Mathematics · 8300
GCSE Maths: Area: rectangle
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise, practice questions and answers for Area: rectangle (Corbettmaths Video 45), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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The area of a rectangle is calculated by multiplying its ? by its width.
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length
What is the formula for the area of a rectangle?
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Area = length × width
What is the formula for the area of a square?
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Area = side × side (or side²)
If a rectangle has area 48cm² and length 12cm, how do you find the width?
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Divide the area by the length: 48 ÷ 12 = 4cm
What units should you use for area when the length and width are measured in centimetres?
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Square centimetres (cm²)
If a square has perimeter 28cm, what is the length of one side?
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7cm (perimeter ÷ 4 = 28 ÷ 4 = 7)
A rectangular field is 300m long and 70m wide. What is its area?
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21,000m² (300 × 70 = 21,000)
If a rectangle is enlarged by scale factor 2, by what factor does the area increase?
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4 (the area increases by the square of the scale factor: 2² = 4)
If a rectangle is 8cm long and 5cm wide, what is its area?
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40 cm²
If a rectangle's length increases by 20% and width increases by 5%, what is the percentage increase in area?
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26%. The new area is 1.20 × 1.05 = 1.26 times the original, so a 26% increase.
A kitchen floor is 3m by 2m. Each tile is 30cm by 20cm. How many tiles are needed?
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100 tiles. Floor area = 60,000 cm²; tile area = 600 cm²; 60,000 ÷ 600 = 100.
A wall is 240cm by 200cm. Square tiles have side 20cm. How many tiles are needed?
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120 tiles. Wall area = 48,000 cm²; tile area = 400 cm²; 48,000 ÷ 400 = 120.
If 120 tiles are needed and each box contains 15 tiles at £8.75 per box, what is the total cost?
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£70. Number of boxes = 120 ÷ 15 = 8; cost = 8 × £8.75 = £70.
Why must area units be squared (e.g., cm² not cm)?
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Area measures two-dimensional space by multiplying two lengths, so the unit is also multiplied (cm × cm = cm²).
When converting area from m² to cm², what is the conversion factor?
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10,000. Since 1m = 100cm, then 1m² = 100cm × 100cm = 10,000 cm².
If a rectangle's length is AB and is 40% longer than its width AD, then AB = ? × AD
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1.4
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