Question

A rectangular lawn, 75 m by 60 m, has two roads, each road 4 m wide, running through the middle of the lawn, one parallel to length and the other parallel to breadth, as shown in the figure. Find the cost of gravelling the roads at Rs 50 per m².

Answer 1

Area of rectangle ABCD = Length × Breath
= 75 × 4
= 300 m²

Area of rectangle PQRS = Length × Breath
= 60 × 4
= 240 m²

Area of square EFGH = (side)²
= (4)²
= 16 m²

∴ Area of the footpath = Area of rectangle ABCD + Area of rectangle PQRS − Area of square EFGH
= 300 + 240 − 16
= 524 m²

The cost of gravelling the road per m² = Rs 50
The cost of gravelling the roads 524 m² = Rs 50 × 524
= Rs 26200

Hence, the total cost of gravelling the roads at Rs 50 per m² is Rs 26200.