Posted by **Katie** on Wednesday, July 27, 2011 at 1:39pm.

The length of a rectangle is 6 inches less than 3 times its width. Find the dimensions of the rectangle if its area is 45 square inches.

- Math -
**Henry**, Thursday, July 28, 2011 at 5:03pm
W = X in.

L = (3x - 6) in.

A = L*W = (3x-6)X = 45,

3x^2 - 6x = 45

3x(x-2) = 45,

x(x-2) = 15,

x^2 - 2x - 15 = 0

(x-5)(x+3) = 0,

x-5 = 0,

x = 5 in.

x+3 = 0,

x = -3.

Solution Set: x = 5, and x = -3.

Select + value of X:

x = 5

W = x = 5 in.

L = 3x-6 = 3*5 - 6 = 9 in.

## Answer This Question

## Related Questions

- Algebra Homework, HELP! - 1) A rectangle has an area of 297 square inches and a...
- Nassau - The length of the smaller rectangle at the right is 1 inch less than ...
- math - A rectangle is 4 inches wide by 7 inches long. When the length and width ...
- basic geometric - 10. a rectangle has width the same as a side of a square whose...
- Math - The length of a rectangle is 11 cm less than 3 times its width. If the ...
- Algebra - The length of a rectangle is (x+2) inches. The width of the rectangle ...
- algebra - The length of a rectangle is 3 more than twice the width. The area of ...
- math - The perimeter of a rectangle is 62 inches. If the length of rectangle is ...
- Math - The length of a rectangle is 5 inches less than 3 times the width. The ...
- math-word problems with quadratics - I have 5 questions... 1) The sum of two ...

More Related Questions