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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 3 m, find
(i) the area covered by the roads.
(ii) the cost of constructing the roads at of the rate of ₹ 110 per m2.



Answer -


Length of the road along the length of the field = 90 m
Breadth = 3 m
∴ Areaof this road = l × b
= 90 m × 3 m = 270 m2
Similarly, the area of the road parallel to the breadth of the field = l × b
= 60 m × 3 m = 180 m2 Area ofthe common portion
= 3m × 3m = 9m2
(i) Area of the two roads
= 270 m2 + 180 m2 – 9 m2
= 450 m2 – 9 m2 = 441 m2
(ii) Cost of constructing the roads
= ₹ 110 × 441 = ₹ 48,510

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