SOLUTION: The diagonal and the longer side of a rectangular plot are together three times the length of the shorter side. If the longer side exceeds the shorter side by 150 ft, what is the a

Algebra ->  Pythagorean-theorem -> SOLUTION: The diagonal and the longer side of a rectangular plot are together three times the length of the shorter side. If the longer side exceeds the shorter side by 150 ft, what is the a      Log On


   

Question 847965: The diagonal and the longer side of a rectangular plot are together three times the length of the shorter side. If the longer side exceeds the shorter side by 150 ft, what is the area of the plot?
I was able to come up with the following:
let s = shorter side
longer side = s + 150
then 3s = diagonal + (s + 150)



Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

let s = shorter side

longer side = (s + 150)

 3s = diagonal + (s + 150)  Yes, good work

 2s - 150 = sqrt%28s%5E2+%2B+%28s%2B150%29%5E2%29   |Squaring both Sides

4s^2 - 600s + 150^2 = 2s^2 + 300s + 150^2

      2s^2 = 900s

        s = 450ft, shorter side.  The longer side is 600ft

Area is %28450ft%29%28600ft%29