Question

In a 100 side square park has 5 m wide path inside it bound. Find out the area of path. Calculate the expenditure @ ₹250/- per 10m² of cementing it.

Answer 1

Let ABCD is 100 m side square park and shaded region is 5 m wide park.

PQ = 100 -(5+5) = 90m

Area of ABCD = (side)²

= (100)² sq. m = 10000 sq. m

Area of PQRS = (side)²

= (90)² sq. m

= 8100 sq. m

∴ Area of path = (10000 – 8100) sq. m

= 1900 sq. m

10 m² cementing = ₹250

∴ Expense on 1900 m² cementing 250

= 250/10 x 1900

= ₹47,500