Question

A jogger running around a rectangular park takes a shortcut back to his car by running 53 meters from one corner to the opposite corner. If the park is 45 meters long, what is the width?

Answer 1

28 meters Aprox

Explanation:

To find the width of the rectangular park, we can use the Pythagorean theorem. The diagonal running from one corner to the opposite corner forms a right triangle with the length and width of the park.

Given:

Length of the park (L) = 45 meters

Diagonal distance (d) = 53 meters

Using the Pythagorean theorem:

d² = L² + W²

(53 meters)² = (45 meters)² + W²

2809 = 2025 + W²

W² = 2809 - 2025

W² = 784

Taking the square root of both sides:

W ≈ √784

W ≈ 28

Therefore, the width of the rectangular park is approximately 28 meters.