Through a rectangular field of length 100m and breadth 50m,two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the field. If the width of road parallel to length is 2m and the width of road parallel to breadth is 5m, find the area covered by the roads.
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Answer:
Given length of field = 90 m
width of field = 60 m.
Area of field =90×60
Area =5400m
2
length 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+180−9
Area of roads =441m
2
.
∴ Area covered by roads =441m
2
.
cost of construction of roads =441×10
Total cost =4410Rs.
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