Question

A rectangular grassy lawn measuring 38 m by 25 m has been surrounded externally by a 2.5-m-wide path. Calculate the cost of gravelling the path at the rate of Rs 120 per m².

Answer 1

Length, EF = 38 m
Breadth, FG = 25 m

∴ Area of EFGH = 38 m $\times$ 25 m = 950 m²

Length, AB = (38 + 2.5 + 2.5 ) m = 43 m
Breadth, BC = ( 25 + 2.5 + 2.5 ) m = 30 m
∴ Area of ABCD = 43 m $\times$ 30 m = 1290 m²

Area of the path = Area of ABCD − Area of PQRS
= 1290 m² − 950 m²
= 340 m²
Rate of gravelling the path = Rs 120 per m²

∴ Total cost of gravelling the path = Rs (120 $\times$ 340)
= Rs 40800