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Question
A path 2 m long and 1 m broad is constructed around a rectangular ground of dimensions 120 m and 90 m respectively. Find the area of the path
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Solution
Length of the rectangular ground l = 120 m
Breadth b = 90 m
Length of the path W1 = 2 m
Length of the path W2 = 1 m
Length of the ground with path L = 1 + 2(W2)
= 120 + 2(1) m
= 120 + 2
= 122 m
Breadth of the ground with path B = l + 2(W1) units
= 90 + 2(2) m
= 90 + 4 m
= 94 m
∴ Area of the path = (L × B) – (l × b) sq.units
= (122 × 94) – (122 × 94) m2
= 668 m2
∴ Area of the path = 668 m2
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