Question

Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is 3m. Find :
i) The area covered by the roads.
ii) the cost of constructing the roads at the rate of ₹ 110 per m²

Answer 1

i) Area covered by the roads = Area of KLNM + Area of abcd – Area of 1, 2, 3, 4
Area of abcd = 90 × 3 = 270 sq.m
Area of KLNM = 60 × 3 = 180 sq.m.
Area of 1, 2, 3, 4 = 3 × 3 = 9 sq.m
∴ Area covered by the roads = 180 + 270 – 9 = 441 sq.m

ii) the cost of constructing the roads at the rate of ₹ 110 per m².
Cost of constructing the roads = Rs 110 per sq.m
∴ Total cost of constructing the roads = 441 × 110
= Rs. 48510