37. Through a rectangular field of length: 90m and breadth 60m, two roads are con-structed which are parallel to the sides & cut each other at right angles through thecentre of the fields. If the width of each raod is 3m. Find :(a)The area covered by roads.(b) The cost of constructing the roads at the rate of Rs. 110 per m.

37. Through a rectangular field of length: 90m and breadth 60m, two

1.	37. Through a rectangular field of length: 90m and breadth 60m, two roads are con-structed which are parallel to the sides & cut each other at right angles through thecentre of the fields. If the width of each raod is 3m. Find :(a)The area covered by roads.(b) The cost of constructing the roads at the rate of Rs. 110 per m.
Answer» Given length of field = 90 mwidth of field = 60 m.Area of field =90×60Area =5400m2length of road GEFH = 90 m.length of road ABCD = 60 m.width of each road = 3m [Given].Area of ROADS =ar(ABCD)+ar.(GEFH)−ar(LIJK)=90×3+60×3−3×3=270+180−9Area of roads =441m2.∴ Area COVERED by roads =441m2.cost of construction of roads =441×10Total cost =4410Rs.