Question

A path 1 m wide is built inside a square park of side 30 m along its sides. find the area of the path . calculate the cost of constructing the path at the rate of 70 ruppees per m square.

Answer 1

as the sides of the square park is 30m
and the width of the path is 1m.
from the fig above we have a square of sides 1m on each corner whose area is 1 square m, therefore the total area on the corners will be 4*1 squat meter . hence the remaining area of the path can be obtained as 4*28 square meters. therefore total area of the path is 4 square m + 112 square meters= 116square meters. as each square meter cost 70 rupees therefore total cost is 116*70=8120rupees

Answer 2

Answer:

Step-by-step explanation:

side of square park=30m

width of park= 1m

side of inner park =30-1-1m

=28m

Cost of construction=₹70 per m^2

Area of path = Area of square park - Area of park inside the path

=A^2-a^2

=30^2-28^2

= 900 - 784

=116m^2

therefore cost of construction = ₹70 × 116

=₹ 8120

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