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.

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