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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