Question

Two cross roads, each of width 8 m, run at right angles through the centre of a

rectangular park of length 100 m and breadth 65 m and parallel to its sides. Find

the area of the roads. Also find the cost of constructing the roads at the rate of Rs

105 per m2

.

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Answer 1

Answer:

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

=550sqm

cost of the construction per sq.m =Rs.105

total cost =550×105=Rs 57750