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Question

A rectangular park measuring 12 m by 8 m is to be bordered by external path which is 2 m wide. Find the area of the path.

A
96 m2
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B
192 m2
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C
144 m2
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D
92 m2
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Solution

The correct option is A 96 m2

Let PQRS be the rectangular park. Let ABCD be the external boundary of the path which will also be rectangular in shape.

Width of the path = 2 m
Length of the park = PQ= 12 m
Breadth of the park = PS=8 m
Area of the park PQRS = 12 × 8= 96 m 2
Length of the external boundary of the path = AB =12 + 2 + 2 = 16 m
Breadth of the external boundary of the path = AD =8 + 2 + 2 = 12 m
Hence Area of ABCD = 16 × 12=192 m2

Area of the path = Area of ABCD - Area of park PQRS
= 192 - 96 = 96 m2


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