a rectangular plot of land is 300m long and 250 m broad. it has two roads, each 3m. wide running midway within it, one parallel to the length and other parallel to the breadth .find the area of road also calculate the cost of constructing road at rs.50 per. sq. m.
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total area of road = 1641 m²
total cost of constructing the road = Rs 82050
Step-by-step explanation:
given, length of the plot = 300 m
breadth = 250 m
width of the road = 3 m
area of rectangle = length × breadth
area of the vertical road = 250 × 3 = 750 m²
area of the horizondal road = 300 × 3 = 900 m²
both the roads have a 3×3 square part in common
area of the common part = 3 × 3 = 9 m²
total area of the road = area of the horizondal road + area of the vertical road - area of the common part
total area of road = 900 +750 -9
= 1641 m²
given: Rs 50 per sq.km for constructing road
total cost of constructing the road = 1641 × 50 = Rs 82050
refer to the image attached
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