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Question
A rectangular garden has dimensions 11 m × 8 m. A path of 2 m wide has to be constructed along its sides. Find the area of the path
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Solution
Area of the rectangular garden L × B
= 11 m × 8 m
= 88 m2
Length of the inner rectangle L
= L – 2W
= 11 – 2(2)
= 11 – 4
= 7 m
Breadth of the inner rectangle b
= B – 2W
= 8 – 2(2)
= 8 – 4
= 4 m
Area of the inner rectangle
= l × b sq.units
= 7 × 4 m2
= 28 m2
Area of the path = Area of the outer rectangular garden – Area of the inner rectangle
= 88 m2 – 28 m2
= 60 m2
Area of the path = 60 m2
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