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
96m2
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B
192m2
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C
144m2
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D
92m2
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Solution
The correct option is A96m2
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