A farmer has a rectangular field. The length of the

Solution

Let the width of the field be x meters. Then, the length of the field is 2x + 20 meters. Area of the field = Length * Width 150 = (2x + 20) * x 150 = 2x² + 20x Rearranging the equation: 2x² + 20x - 150 = 0 Dividing through by 2: x² + 10x - 75 = 0 Solving the quadratic equation: x = [-10 ± √(10² - 4 * 1 * -75)] / 2 x = [-10 ± √(100 + 300)] / 2 x = [-10 ± √400] / 2 x = [-10 ± 20] / 2 Taking the positive root: x = (20 - 10) / 2 = 5 meters length = 2*5 + 20 = 30 meter Answer: d) Length = 30 meters, Width = 5 meters