Two cross roads 2.5 m wide have been constructed in the middle of a garden
crossing each other at right angles, running parallel to the sides of the garden 35 m
long and 20 m wide. Find the cost of constructing the roads at the rate of 100 per
sq.m.
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width = 5 m
length of first parallel road 70 m
area of first road 70 × 5 = 350 sq.m
length of second road 45 m
area of second road = 45 × 5 = 225 sq.m
area of the common part of cross road with 5 m width that lies at the
center of the park 5 × 5 = 225 sq.m
area of roads = area of first road +area of second cross road − common area
=( 350 + 225) −25
=575 − 25
=550 sqm
cost of the construction per sq.m = Rs.105
total cost =550 × 105 = Rs 57750
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