Asked by Sharon

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.
Answered by Reiny
width --- x
length --- x+16

solve
x(x+16) = 420

(it factors quite nicely)
Answered by Henry
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.
There are no AI answers yet. The ability to request AI answers is coming soon!