Question

A square park of side 35m. It grassy portion in the centre leaving a path for walking 2.5m wide, all around. In the middle of the grassy portion, two roads 1.5m wide cross each other. Find the cost of constructing the roads at the rate of ₹ 120 per sq.m.

Answer 1

now dimension of the sq park
= 35m
also part of the park left for walking= 2.5m
now dimension of the grassy land=
35 - 5 m
(since width of 2.5m is left on both the sides)
= 30m
area of the grass land.
= 30 x 30 = 900m^2
for the road,
width = 1.5m
length= 30m
area= 30 x 1.5 = 45m.
site there are two roads,
resulting ar. = 90m^2
but since the intersects at a point
dimension of the point of intersection = 1.5 x 1.5
ar = 2.25
required. ar = 90 - 2.25 = 87.75m^2

now cost= 120 rs per square m
87.75 x 120 = 10530rs