A plot's length is four times its width. A playground covering 1200 square meters takes up one-third of the entire plot's area. What is the length of the plot in meters?
Explanation
The total area of the plot is three times the playground's area: 3 × 1200 = 3600 square meters. Let the width be x meters, so the length is 4x meters. The area is length × width = 4x × x = 4x² = 3600. This gives x² = 900, so x = 30 meters. Therefore, the length is 4 × 30 = 120 meters, which is not listed among the options, making 'None of the above' the correct choice.