Question 630018
Perimeter of a rectangle is 2*L + 2*W where L is the length and W is the width.


L = 2 * W + 8 (Given)


P = 2 * L + 2 * W  (Definition of Perimeter for a Rectangle)


P = 94 feet   (Given)


P = 2 * (2 * W + 8) + 2 * W  (Substitution for L)


P = 4 * W + 16 + 2 * W  (Multiplication)


P = 6 * W + 16    (Add like terms)


94 = 6 * W + 16   (Substitution for P)


78 = 6 * W  (Subtract 16 from both sides)


13 = W   (divide by 6)


W = 13 (Answer)


L = 2 * W + 8 (Given)


L = 2 * 13 + 8  (Substitution for W)


L = 34 (Simplify)


L = 34 (Answer)