Find n. Perimeter = 86 in.

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.