Question

A path 5 m wide runs along inside a square park of side 100 m. Find the area of the path. Also, find the cost of cementing it at the rate of Rs. 250 per 10 m².

Answer 1

Let ABCD be the square park of side 100 m. The shaded region represents the path 5 m wide.

PQ = 100 – (5 + 5) = 90 m

Area of square ABCD = (side)² = (100)² m² = 10000 m²

Area of square PQRS = (side)² = (90)² m² = 8100 m².

Therefore, area of the path = (10000 − 8100) m² = 1900 m²

Cost of cementing 10 m² =Rs. 250

Therefore, cost of cementing 1 m² = Rs. `250/10`

So, cost of cementing 1900 m² = Rs. `250/10 xx 1900` = Rs. 47,500.