Two crossroads each of width 3 m run through the centre of a rectangular park of length 45 m and breadth 32 m. Find the area of the paths and the cost of paving them at the rate of Rs 110/ sq.m.
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Given, Length of the rectangular field = 45m,
Width of the rectangular field = 32m
Width of the road = 3m
Cost of construction of road = Rs 110 per m²
Hence
Length of the field without road = 45m —3m = 42m
Width of the field without road = 32m —3m = 29m
Area of rectangular field = Length × Width
= 45m × 32m = 1440 m²
Area of rectangular field without road = Length without road × width without road
= 42m × 29m = 1218m²
Therefore, Area covered by roads
= Area of rectangular field — Area of rectangular field without roads
1440-1218=222m²
Cost of construction = Rate × Area
=110x222=₹24420
Width of the rectangular field = 32m
Width of the road = 3m
Cost of construction of road = Rs 110 per m²
Hence
Length of the field without road = 45m —3m = 42m
Width of the field without road = 32m —3m = 29m
Area of rectangular field = Length × Width
= 45m × 32m = 1440 m²
Area of rectangular field without road = Length without road × width without road
= 42m × 29m = 1218m²
Therefore, Area covered by roads
= Area of rectangular field — Area of rectangular field without roads
1440-1218=222m²
Cost of construction = Rate × Area
=110x222=₹24420
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