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.

## Answer this Question

## Related Questions

Math - If the length of a rectangle is (2x-1)cm and its width is (x+3)cm. How do...

algebra - the length of the top of a table is 6 m greater than the width. the ...

Math - Find the Maximum area for the given perimeter of a rectangle. State the ...

geometry - The perimeter of a rectangle is 42m , and the area of the rectangle ...

Algebra/geometry - a rectangle has a width of 4 cm less than it's length. if a ...

geometry - The width of a rectangle is 6 cm less than its length. If the area of...

Algebra Word Problem - A rectangle has dimensions of 12x8inches. If a uniform ...

Math - A mechanical engineering student wishes to inscribe a rectangle in a ...

math - a rectangle is twice as long as it is wide. if both of its dimensions are...

Math - The first question is this: Helen designs a rectangle with an area of 225...