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Question

By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).

(a) (b)

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Solution

(a) The given figure can be broken into rectangles as follows.

Area of 1st rectangle = 4 × 2 = 8 cm2

Area of 2nd rectangle = 6 × 1 = 6 cm2

Area of 3rd rectangle = 3 × 2 = 6 cm2

Area of 4th rectangle = 4 × 2 = 8 cm2

Total area of the complete figure = 8 + 6 + 6 + 8 = 28 cm2

(b) The given figure can be broken into rectangles as follows.

Area of 1st rectangle = 3 × 1 = 3 cm2

Area of 2nd rectangle = 3 × 1 = 3 cm2

Area of 3rd rectangle = 3 × 1 = 3 cm2

Total area of the complete figure = 3 + 3 + 3 = 9 cm2


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