Question

A 80 m by 64 m rectangular lawn has two roads, each 5 m wide, running through its middle, one parallel to its length and the other parallel to its breadth. Find the cost of gravelling the roads at ₹40 per m².

Answer 1

Length of rectangular lawn = 80 m

Breadth = 64 m

Width of road = 5 m

Area of horizontal road = 5 × 80 = 400 m²

Area of vertical road = 5 × 64 = 320 m²

Area of common part to both roads = 5 × 5 = 25 m²

Now,

Area of roads to be gravelled = Area of horizontal road + Area of vertical road -Area of common part to both roads

= 400 + 320 – 25

= 695

Therefore, Area of roads to be gravelled is 695 m²

Cost of gravelling = 695 x ₹ 40 per m² = ₹27800