SOLUTION: 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 and the width.
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: 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 and the width.
Log On
Question 339032: 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 and the width. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! let width be x
length = x+16 inches
.
Area of rectangle A = L*W
420 = x(x+16)
420 = x^2 16x
x^2+16x -420 =0
x^2+30x-14x-420=0
x(x+30)-14(x+30)=0
(x+30)(x-14)=0
x= 14 inches the width.
The length = x+16
= 14+16=30 inches.
