Let the length of rectangle be L and the width of rectangle be W. Since length exceeds the width by 25 inches, length will be L = W + 25
Now the perimeter, P, is given by P = 2(L + W) Substituting L = W + 25 in the above equation, P = 2(W + 25 + W) P = 2(2W + 25) P = 4W + 50 But P = 86 inches P = 4W + 50 = 86 4W = 86 - 50 = 36 W = 36/4 = 9
Hence, width W = 9 inches. Length L = W + 25 = 9 + 25 = 34 inches.