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Rectangle Area Calculations

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Rectangle Area Calculations

Find area by multiplying length by width. For compound shapes, add the areas of the non-overlapping rectangles. Include the correct square units.

Rectangle Area

1.A rectangle is 9 cm long and 4 cm wide. What is its area?

2.A rectangular rug measures 11 m by 6 m. Calculate its area.

3.A vegetable patch is 14 metres long and 8 metres wide. How many square metres of ground does it cover?

4.Which rectangle has the greater area?

Rectangle A: 9 cm × 5 cm
Rectangle B: 8 cm × 6 cm
They have equal areas

Areas of Compound Shapes

5.An L-shaped compound area consists of two non-overlapping rectangles: one measures 8 cm by 3 cm and the other measures 5 cm by 4 cm. Work out each rectangle's area, then find the total area.

6.A T-shaped compound area consists of two non-overlapping rectangles: one measures 18 m by 7 m and the other measures 10 m by 5 m. What is its total area?

7.A shed floor has a main rectangular section measuring 13 m by 9 m and a smaller rectangular section measuring 6 m by 4 m. The sections meet edge-to-edge and do not overlap. Sketch a way to split the floor into rectangles, then calculate its area.

Area in Everyday Problems

8.A rectangular room is 7 m by 5 m, with a separate 3 m by 2 m alcove. The two floor sections do not overlap. Carpet costs $32 per square metre. What is the total carpet cost?

9.The pool is 22 m by 10 m and the surrounding deck is 3 m wide on every side. Find the combined area of the pool and deck.

10.Explain how you can find the area of a compound shape made from rectangles.