Question

A man runs around a square park and covers 1 km in five rounds. What is the area of the park? ?
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Answer 1

Distance covered in 5 times = 1km = 1000m

Distance covered in one time = 1000/5 = 200m

Perimeter of park = 200m

>Perimeter of park = 4 × Side

> 200 = 4 × Side

> 200/4 = Side

> Side = 50m

> Area = Side × Side

= 50 × 50

= 2500m²

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Answer 2

Answer:

The area of the park is 2500 m² or 0.0025 km² .

Step-by-step explanation:

All sides of a square are of equal length , so let

the length of the sides of the square park is α meters .

then the perimeter of the square park is 4α meters.

The man covers 1 km distance by running around the park's perimeter 5 times.

then , 4α × 5 = 1000 m ( 1 km = 1000 m )

⇒20α = 1000

⇒ α = 50 meters

then the area of the park is , α² = (50)² = 2500 m² or  0.0025 km²