cordellhood cordellhood
  • 01-07-2019
  • Mathematics
contestada

The length of a rectangle is
3
yd

more than twice the width
x

. The area is
230
yd
2


.

Respuesta :

musiclover10045
musiclover10045 musiclover10045
  • 01-07-2019

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.

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