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.
Answers
Answered by
Reiny
width --- x
length --- x+16
solve
x(x+16) = 420
(it factors quite nicely)
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.
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.