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Area of Rectangles and Triangles
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Area of Rectangles and Triangles
Show your working and include the correct square units in each area answer. For questions about missing dimensions, rearrange the area formula.
Area facts and formulas
1.What does the area of a two-dimensional shape measure?
- The total length of its edges
- The amount of surface enclosed by its boundary
- The distance between its furthest corners
- The number of sides it has
2.Which expression gives the area of a rectangle with length l and width w?
- l + w
- 2l + 2w
- l × w
- ½ × l × w
3.Which expression gives the area of a triangle with base b and perpendicular height h?
- b × h
- ½ × b × h
- b + h
- 2 × (b + h)
4.Match each shape to its area formula.
- Rectangle
- Triangle
- Square
- Parallelogram
- ½ × base × perpendicular height
- base × perpendicular height
- side length × side length
- length × width
Calculate areas
Use the appropriate area formula for each shape.
5.A rectangle is 11 cm long and 7 cm wide. Find its area.
6.A triangle has a base of 15 cm and a perpendicular height of 8 cm. Calculate its area.
7.A rectangular vegetable plot measures 4.6 m by 3.2 m. What is its area?
8.A triangular banner has a base of 5.5 m and a perpendicular height of 2.4 m. Find its area.
9.A rectangle has an area of 96 cm² and a width of 8 cm. Find its length.
Apply and extend
10.A rectangular patio is 8.4 m long and 5.5 m wide. How many square metres of paving cover the patio?
11.A triangle has an area of 54 m² and a base of 12 m. What is its perpendicular height?
12.A shape consists of a rectangle measuring 9 cm by 6 cm with a triangle attached along one 9 cm side. The triangle's perpendicular height to that shared side is 4 cm. Find the total area of the shape.
13.A triangle and a rectangle have the same base and perpendicular height. Explain how their areas compare, and why.
3 printable pages
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