Question

A path 5 m wide runs around the inside of a square park ot side 100 m. Find the area of the path.​

Answer 1

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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 = 250/10

$So, cost \: of \: cementing \: \\ 1900 m2 = Rs.  \frac{250}{10} \times 1900 \\ = rs \: 47500$