A rectangular carpet covers an area of 60 square meters. The sum of its diagonal and the longer side is five times the length of the shorter side. What is the length of the carpet?

Explanation

Given the area of the rectangle is 60 sq.m, let the shorter side be x and the longer side be y. The diagonal length is √(x² + y²). According to the problem, the diagonal plus the longer side equals 5 times the shorter side: √(x² + y²) + y = 5x. Using these equations, solving for the dimensions shows the longer side measures 12 meters.