1. Let's call the short side [tex]x[/tex] and the long side [tex]y[/tex].
2. The problem says that the short side is 1/3 the length of the long side. So, you can write the following expression:
[tex]x=\frac{1}{3}y[/tex]
3. The formula for calculate the area of a rectangle is:
[tex]A=xy[/tex]
4. Then, you must substitute [tex]x=\frac{1}{3}y[/tex] and the value of the area into the formula and solve for [tex]y[/tex] (The long side):
[tex]120,000=(\frac{1}{3}y)(y)\\120,000=\frac{1}{3}y^{2}\\y=\sqrt{(120,000)(3)}\\y=600[/tex]
5. Now, you can calculate [tex]x[/tex] (The short side):
[tex]x=(\frac{1}{3})(600)\\x=200[/tex]
Therefore, the answer is: 600 feet by 200 feet.
