Posted by Jorge on .
The parking lot is 25 by 40 feet. The owner wants to enlage the parking lot by paving an equal width strip on the north side and east side of the lot, sot hat the new lot will be twice the area of the old one. Find the equation which has as a root the proper width of the strip.

College Algebra 
Reiny,
let the width of the strip to be added be x ft
new length = x+40
new width = x+25
new area = (x+40)(x+25)
old area = 25x40 = 1000
(x+40)(x+25) = 2000
x^2 + 65x  1000 = 0
All you asked for was the equation,
solve it using the quadratic equation formula 
College Algebra 
Jorge,
Got it thanks. I had gotten up to the equation but completely forgot to plug it into the quadratic to get my answer of 12.845
Thanks again.