The area is given by A = (5 + 2x) * (10 + 2x) - 50 Rewriting we have: A = 50 + 10x + 20x + 4x ^ 2 -50 Rewriting we have: A = 4x ^ 2 + 30x Substituting the value of the area we have: 54 = 4x ^ 2 + 30x Rewriting: 4x ^ 2 + 30x - 54 = 0 We look for the roots: x1 = -9 x2 = 3/2 We take the positive root: x2 = 3/2 Answer: the value of x is: x = 3/2