Posted by **Sharon** on Friday, July 30, 2010 at 8:18pm.

A rectangular counter top is 16 inches longer than it is wide. If the area of the counter top is 420 square inches, find the length and the width.

- Algebra -
**Reiny**, Friday, July 30, 2010 at 9:37pm
width --- x

length --- x+16

solve

x(x+16) = 420

(it factors quite nicely)

- Algebra -
**Henry**, Friday, July 30, 2010 at 9:42pm
Width = W inches

Length = W + 16 inches.

W(W + 16) = 420

W^2 + 16W - 420 = 0

Use Quadratic Formula:

w = (-16+ / - sqrt(256 + 1680))/2 =

(-16 +- 44)/2 = 14 and -30. use W = 14

= Width.

W +16 = 14 + 16 = 30 in. = Length.

## Answer this Question

## Related Questions

- math - Janice plans to build a rectangular table top with an area of 60+20r ...
- Algebra Homework, HELP! - 1) A rectangle has an area of 297 square inches and a...
- Math - Walter is making an open-top box. The length is 6 inches greater than the...
- Algebra - A rectangular picture is 4 inches longer than it is wide. The picture ...
- Geomertry - The surface area of a rectangular prism is 190 square inches, the ...
- Math - The area of a rectangular photograph is 59 square inches.It is to be ...
- Calculus - A retangular poster is to be made out of cardboard. The margins on ...
- Algebra 0110 College - 1) A rectangle has perimeter 38 feet and an area of 78 ...
- algebra - A heating duct has a rectangular cross section whose area is 40(inches...
- algebra - A rectangular picture is 2 inches longer than it is wide. When a frame...

More Related Questions