A path 1m wide is built along the border & inside a square garden of side 30m . find
1. the area of the path .
2. the cost of planting grass in the remaining portion of the garden at the rate of Rs.40 per sq. m .
Here is the answer to your query.
Let ABCD be the border of square garden of side 30m and the shaded region be the path
Then AD = 30m , XP=1m, SY = 1m
and XY = AD
⇒ XP + PS + SY = AD
⇒ PS = AD – XP – SY = 30m – 1m – 1m = 28m
∴ PQRS in a square of side 28m
∴ The area of path = Area of ABCD – Area of PQRS
Given : Cost of planting grass in = Rs 40
⇒ Cost of planting grass in PQRS = Rs 40 × 784
= Rs 31360