Question

A rectangular lawn 75 m by 60 m, has two roads 4 m wide each running through the middle of the lawn one parallel to the length and other parallel to the breadth as shown in figure. Find the cost of gravelling the roads at Rs. 4.50 per sq m.

• A. Rs. 2358
• B. Rs.2385
• C. Rs.2300
• D. Rs.2500

Answer 1

The correct option is A Rs. 2358

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

Area of the road(ABCD) parallel to the length of the lawn = $75m\times 4m$
$=300m^2$

Area of the road(EFGH) parallel to the breadth of the lawn = $60m\times 4m$
$=240m^2$

Area of the common area in both ABCD and EFGH = $4m\times 4m$
$=16m^2$

Total area of both the rectangular roads = $300+240-16$
=$524m^2$

Cost of gravelling the roads per $m^2=$ Rs.$4.50$

Cost of gravelling the roads for $524m^2$
$=4.50\times 524$
$=2358$

Cost of gravelling the road is Rs.$2358$