AQA · Mathematics · 8300
GCSE Maths: Perimeter
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Perimeter (Corbettmaths Video 241), 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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What is the perimeter of a shape?
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The total distance around the outside of a shape (the sum of all its side lengths).
How do you find the perimeter of a rectangle?
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Add the lengths of all four sides, or use the formula: 2 × length + 2 × width.
How do you find the perimeter of a square with side length s?
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Multiply the side length by 4: perimeter = 4s.
How do you find the perimeter of an equilateral triangle with side length s?
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Multiply the side length by 3: perimeter = 3s.
An isosceles triangle has ? sides of equal length.
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two
How do you find a missing side length when the perimeter of a shape is given?
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Subtract the sum of the known side lengths from the total perimeter.
If a square has an area of 36 cm², what is its perimeter?
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24 cm. (Side length = √36 = 6 cm, so perimeter = 4 × 6 = 24 cm).
Do all rectangles with the same area have the same perimeter?
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No. For example, a 6×4 cm rectangle (area 24 cm²) has perimeter 20 cm, while a 12×2 cm rectangle (area 24 cm²) has perimeter 28 cm.
What is a regular polygon?
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A polygon with all sides equal in length and all angles equal.
If a regular pentagon has perimeter P, what is the length of one side?
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P ÷ 5, since a pentagon has 5 equal sides.
If the perimeter of a parallelogram is 17 cm and each long side is 5 cm, what is the length of each short side?
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3.5 cm. (17 − 2×5 = 7 cm for both short sides, so each is 7 ÷ 2 = 3.5 cm).
When a square is removed from the top edge of a square shape, how does the perimeter change?
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The perimeter stays equal. Removing a square from the edge adds two vertical sides that replace the horizontal length removed.
When a 2D shape is enlarged by a scale factor k, how does the perimeter change?
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The perimeter is multiplied by k. All lengths are multiplied by the scale factor, so the perimeter scales linearly.
In a kite ABCD, what is the relationship between opposite sides?
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A kite has two pairs of adjacent sides that are equal. For kite ABCD, AB = AD and CB = CD.
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