a rectangular field of dimension 90 metre ×60 metre to roads are constructed which are parallel to the two side and cut each other at right angles through the centre of the field if width of pitch of road is 3 metre find
(i) the area covered by the road
(ii) the cost of constructing the road at the rate of rupees 110 per metre square
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Answer:
(i) 441 m² '
(ii) Rs 48510
Step-by-step explanation:
Area covered by road(parallel to length) is
= 90m x 3m
= 270 m²
Area covered by road(parallel to width) is
= 60m x 3m
= 180 m²
Area of roads = 270 + 180 m² = 450 m²
Note that we have added the area at the centre twice, which is 3 x 3 = 9m². We would subtracted this once.
Hence,
area covered by roads = 450 - 9 m²
= 441 m²
Cost of construction = rate x area
= Rs 110 x 441
= Rs 48510
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