Question

The length of a rectangle is

Answer 1

Area of a rectangle is Length times width.

The Width is given as X and the length is 2x+3

Now you have x * 2x+3 = 230

Multiplying x to 2x+3 = 2x^2 +3x

2x^2 +3x = 230

Subtract 230 from both sides:

2x^2+3x-230 = 0

Factor the polynomial:

(x-10) (2x+23) = 0

Solve for each x:

x = 10 and X = -11.5

Since a side of a rectangle can't be a negative number x = 10.

The width = x = 10 yards.

The length = 2(10) +3 = 23 yards.