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Rectangle Area Formula

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Rectangle Area Formula

Use A = length × width to plan rectangular spaces. Show working and include square units in every area answer. Length (roa) and width (whānui) are measured in the same units.

Know the formula

A community garden is being redesigned. Work through the clues and calculations to help make the plan fit.

1.Which expression gives the area of a rectangle with length l and width w?

l + w
l × w
2 × (l + w)
l ÷ w

2.A rectangular seedling bed is 8 m long and 3 m wide. Calculate its area and write the correct unit.

3.A rectangle is 9 cm long and 5 cm wide. Explain why its area is measured in square centimetres, then calculate it.

Plan the spaces

Use the area formula to compare garden features and solve the design problems.

4.The composting area is 12 m by 4 m. How many square metres does it cover?

5.A paved seating space covers 54 m² and has a width of 6 m. Find its length. Show how you use the area formula.

6.The rectangular garden boundary is 15 m long and 10 m wide. A path 1 m wide runs inside the boundary on all four sides. What area remains for planting?

7.True or false: If both the length and width of a rectangle are doubled, its area is doubled. Justify your choice with a numerical example.

TrueFalse

8.A rectangular herb bed has an area of 42 m². Its length is 7 m. Complete: width = area ÷ length = m.

9.A school community has 60 m of edging to put around one rectangular garden. Suggest dimensions that use all 60 m of edging, then calculate the garden’s area. (Perimeter is the total distance around the rectangle.)

10.A 6 m by 5 m rectangular bed is split into two equal-width rectangles by a divider running along its 6 m length. What is the area of each smaller rectangle?

11.A rectangular storage mat is 2.4 m long and 1.5 m wide. Find its area. Give your answer in m².

12.A rectangular space is 10 m by 8 m. A 4 m by 3 m tool shed occupies one corner. How much area is left for garden beds?

13.In te reo Māori, roa means length, whānui means width, and te ātea means area. Write the rectangle area rule using these words, then state what unit you would use for a rectangle 7 cm by 4 cm.