The length of a rectangle is 1 ft more than double the width, and the area of the rectangle is 45 ft2. find the dimensions of the rectangle.

A = L * W

A = 45

L = 2W + 1

45 = W (2W + 1)

45 = 2W^2 + W

2W^2 + W - 45 = 0

(2W - 9) (W + 5) = 0

W + 5 = 0

W = - 5 ... not this one because it is negative

2W - 9 = 0

2W = 9

W = 9/2

W = 4.5 < = = = the width is 4.5 ft

L = 2W + 1

L = 2 (4.5) + 1

L = 9 + 1

L = 10 < = = = the length is 10 ft