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Question

Find the area of the 1.5 m wide pathway (green) if length is twice the breadth. Breadth is equal to 6 m..


A

24.75 m2

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B

247 m2

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C

27 m2

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D

270 m2

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Solution

The correct option is A

24.75 m2


Breadth of the rectangle = EH = FG = 6 m

Length of rectangle = AB = CD = 12 m

Area of the pathway ABCD =12 m×1.5 m=18 m2

Area of the pathway EFGH =6 m×1.5 m=9 m2

Area (PQRS) =1.5 m×1.5 m=2.25 m2 (This area is taken twice)

Total area of pathway = Area (ABCD) + Area (EFGH) - Area (PQRS)

=(18+92.25) m2=24.75 m2


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