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Question

Split the following shapes into rectangles and find their areas. (The measures are given in centimetres)

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Solution

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

Area of 1st rectangle = 12 × 2 = 24 cm2

Area of 2nd rectangle = 8 × 2 = 16 cm2

Total area of the complete figure = 24 + 16 = 40 cm2

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

Area of 1st rectangle = 21 × 7 = 147 cm2

Area of 2nd square = 7 × 7 = 49 cm2

Area of 3rd square = 7 × 7 = 49 cm2

Total area of the complete figure = 147 + 49 + 49 = 245 cm2

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

Area of 1st rectangle = 5 × 1 = 5 cm2

Area of 2nd rectangle = 4 × 1 = 4 cm2

Total area of the complete figure = 5 + 4 = 9 cm2


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