SOLUTION: The area of a rectangle is 135 square meters. The width is four meters longer than 1/3 of the length. Find the length and the width.. I understand that the equation for width is w

Algebra.Com
Question 903029: The area of a rectangle is 135 square meters. The width is four meters longer than 1/3 of the length. Find the length and the width.. I understand that the equation for width is w= 1/3l + 4 then I multiples the entire thing by l and set it equal to 135 which is the area. I got 135= 1/3l squared plus 4l. Then I started to factor and got 0= 1/3l^2 +4l -135. I just don't know where to go from there
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
L(L/3 - 4) = 135m^2
L^2/3 - 4L = 135
L^2 - 12L -405 = 0
(L-27)(L+15)= 0 (Tossing out the negative solution for unit measure)
L = 27m and w = 5m
And...


RELATED QUESTIONS

The length of a rectangle is 4 meters longer than its width, and its area is 10 square... (answered by josgarithmetic)
the area of a rectangle is 51 square meters. the length is 2 meters longer than the... (answered by Fombitz)
the length of a rectangle is 12 meters longer than half the width. the area of the... (answered by drj)
The length of a rectangle is 3 meters longer than the width. If the area is 33 square... (answered by richwmiller)
The length of a rectangle is 3 meters more than 4 times the width. If the area is 115... (answered by MathLover1,greenestamps,ikleyn)
the length of a rectangle is 3 meters longer than the width. If the diagonal of the... (answered by ReadingBoosters)
a rectangle has a length that is 3 meters longer than twice the width what are the... (answered by Fombitz)
A rectangle is 4 meters longer than it is wide. The area of the rectangle is 252 square... (answered by nerdybill)
The area of a rectangle is 14 square meters. Find the length and width of the rectangle... (answered by mananth)