Question

A rectangular lawn is 60m by 40m and has two roads, each 5m wide running in the middle of it one parallel to its length and the other parallel to its bread. Find the cost of constructing the roads at ₹ 75 per sq. m

Answer 1

wish u will understand

Answer 2

The cost of constructing the roads is Rs. 35625.

• The length of the rectangular lawn is given as 60m and breadth is given as 40 m.
• The road is to be constructed in the middle of the lawn 5 m wide .
• Now we have to find the cost of constructing the road in the middle of the lawn.
• Area of the road is area of both rectangles formed in the center - area of the square at the center.

Area of road = Sum of Area of rectangles formed at centre - area of square at center

Area of road = (60 × 5) + (40 × 5) - (5 × 5)

Area of road = 300 + 200 - 25 = 475 sq. m

• Now cost of constructing the road per sq. m = Rs. 75 per sq. m

• Now cost of constructing the total road = 75 × 475 = Rs. 35625