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Quadrilateral Lengths & Areas
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Quadrilateral Lengths & Areas
Use area relationships to find missing lengths. Show your working and include the correct units.
Find missing lengths
1.A rectangle has an area of 63 cm² and a width of 7 cm. What is its length?
2.A parallelogram has an area of 108 cm² and a base of 12 cm. Find its perpendicular height.
3.A square has an area of 121 cm². How long is each side?
4.A rectangle has an area of 96 m² and a length of 12 m. Which calculation gives its width?
- 96 + 12
- 96 ÷ 12
- 96 × 12
- 12 − 96
Apply area relationships
5.A rectangular garden has an area of 120 m² and a length of 15 m. Its width is 8 m. In the answer space, draw the garden to scale using 1 cm to represent 2 m. Label the length and width.
6.A parallelogram-shaped car park has an area of 336 m² and a base of 28 m. A fence will run along the perpendicular height. How many metres of fencing are needed?
7.Two rectangles are joined side by side to make one shape with a total area of 126 cm². The first rectangle measures 9 cm by 6 cm. The second rectangle has a width of 8 cm and an unknown length x. Calculate x.
Explain and check
8.Describe how to find a parallelogram's perpendicular height when its area and base length are known. Use the terms area, base and height.
9.A rectangular sports field must have an area of exactly 5,400 m². If its length is 90 m, can its width be a whole number of metres? Show your calculation and state the width.
10.Create and solve a quadrilateral area problem that asks for one missing length. Include the shape, its area, one known length, and the units.
2 printable pages
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