Question

In a rectangle, the perimeter is 102 inches. The width of the rectangle is 9 inch more than half the

length. What are the length and width of the rectangle?

Answer 1

perimeter = 2width + 2 length

102 = 2(x+9) + 2x

102 = 2x + 18 +2x

102 = 4x +18

84 = 4x

21 = x

Length = x = 21 inches

Width = x + 9 = 21 + 9 = 30 inches