Question

The length of a rectangle is one more than twice its width. If the perimeter of the rectangle is 98 inches, what are the dimensions of the rectangle?

Answer 1

Let width = x

length = 2x + 1

perimeter = 2 (L) + 2 (W)

98 = 2 (x) + 2 (2x + 1)
98 = 2x + 4x + 2
98 = 6x + 2
96 = 6x
96/6 = x
16 = x

width = 16 in

length = 2x + 1 = 2 (16) + 1 = 33 in