The length of a rectangle is

3

yd

more than twice the width

x

. The area is

230

yd

2

.

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.