The length of a rectangular park is 3 feet shorter than 2/3 times its width if the length is 123 feet the width of the park in feet?

The length of a rectangle is three feet shorter than twice its width. If the are of a rectangle is 170ft^2, what is the length of the rectangle?

...

let width be x feet

length = 2x-3

Area = 170 ft^2

...

Area = L*W

x (2x-3) = 170

2x^2-3x=170

2x^2-3x-170 = 0

2x^2-20x+17x-170=0

2x (x-10) + 17 (x-10) = 0

(x-10) (2x+17) = 0

Take positive value x = 10 feetthe width

Length = 20-3 = 17 feet

Modify the values.