A rectangular lawn 115 m long and 64 m broad has two cross-paths at right-angles, one 2 m wide,
running parallel to its length and the other 2.5 m wide, running parallel to its breadth. Find the
cost of gravelling the paths at 114 per m².
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Step-by-step explanation:
Length of a lawn(l) = 115m
Breadth of a lawn (b) = 64 m
Width of lengthwise road(PQ)= 2.5 m
Width of breadththwise road (AB)= 2 m.
Area of road( ABCD)= 115×2= 230 m²
Area of road( PQRS)= 64×2.5= 160 m²
Area of common path EFGH= 2× 2.5= 5 m²
Area of the roads= (Area of road ABCD+ Area of road PQRS) - Area of Road EFGH
Area of the roads= 230+160-5
Area of the roads= 390-5= 385 m²
Rate of gravel = ₹ 4.60 per m²
Cost of gravelling the roads= 385 × 4.60= 1771
Hence, the Cost of gravelling the roads = ₹1771
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