Question

A rectangular lawn 75 m by 60 m has two roads each 4 m wide running in the middle of it, one parallel to length and the other parallel to breadth. Find the cost of gravelling the roads at 14.50 per sq. metre.

Answer 1

Given:

• Length of the rectangular lawn=75m
• Breadth of the lawn=60m
• Width of the road=4m

• Area of the road(ABCD) parallel to thelength of the lawn =75m x 4m

= 300m²

• Area of the road(EFGH) parallel to the breadth of the lawn = 60m x 4m

= 240m²

• Area of the common area in both ABCD and EFGH = 4mx 4m

= 16m²

Total area of both the rectangular

roads = 300 + 240 - 16

=524m

• Cost of gravelling the roads per m² = Rs.

4.50

Cost of gravelling the roads for 524m²

= 4.50 x 524

= 2358

Cost of gravelling the road is Rs.2358