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Area of Squares and Rectangles
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Area of Squares and Rectangles
Show your working for calculation questions. Include the correct square units in each area answer.
Area and units
1.Which description best defines the area of a two-dimensional shape?
- The total distance around its boundary
- The amount of surface covered inside its boundary
- The length of its longest side
- The distance from its top edge to its bottom edge
2.Select both units that could be used to report the area of a rectangular sports court.
- Square millimetres (mm²)
- Metres (m)
- Square metres (m²)
- Centimetres (cm)
3.Match each shape to the expression that calculates its area.
- Rectangle with length l and width w
- Square with side length s
- Rectangle measuring 9 cm by 4 cm
- Square with sides of 7 m
- 9 × 4
- l × w
- s × s
- 7 × 7
4.Complete the formula: area of a rectangle = × .
5.A square has side length s. Which expression gives its area?
- 4 × s
- s + s
- s × s
- 2 × s
Calculate area
6.A rectangle is 11 cm long and 6 cm wide. Calculate its area.
7.A square paving stone has sides of 8 m. Find its area.
8.A rectangular noticeboard measures 45 cm by 28 cm. What is its area?
9.A rectangular courtyard is 13 m long and 9 m wide. A square courtyard has sides of 11 m. Which courtyard has the greater area, and by how many square metres?
Use area to solve problems
10.Wiremu is covering a rectangular tabletop with a protective sheet. The tabletop is 135 cm long and 72 cm wide. What area of sheet is needed to cover it completely?
11.Explain why multiplying the length by the width gives the area of a rectangle. Include the idea of equal-sized square units in your explanation.
12.A square flower bed has an area of 81 m². How long is each side?
13.A rectangle has an area of 168 cm² and a width of 12 cm. Find its length.
3 printable pages
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