A rectangular field has a length that is 4.5 times its width. If the total area of the field is 200 square meters, what is the length of the field?

Explanation

Let the width be x meters. Then the length is 4.5x meters. The area is length × width = 4.5x × x = 4.5x² = 200. Solving for x² gives x² = 200 / 4.5 ≈ 44.44, so x ≈ 6.67 meters. Therefore, length = 4.5 × 6.67 ≈ 30 meters.