Posted by **Anonymous** on Tuesday, September 3, 2013 at 6:25pm.

Use the given area A of the rectangle to find the value of x. Then give the dimensions of the rectangle.

A=91m^2

A=L•W

L=(2x+3)m

W=(x+2)m

91m^2=(2x+3)m•(x+2)m

91=(x+2)(2x+3)

Now what?

- Geometry/algebra 1 -
**MathGuru**, Tuesday, September 3, 2013 at 7:00pm
Set the equation equal to 0:

2x^2 + 4x + 3x + 6 - 91 = 0

2x^2 + 7x - 85 = 0

Factor:

(2x + 17) (x - 5) = 0

Set the factors equal to 0:

2x + 17 = 0; x = -17/2

x - 5 = 0; x = 5

You can't have a negative number for this problem, so use x = 5 for the value of x.

I'll let you take it from here to determine the dimensions of the rectangle.

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