Question

A rectangular plot of land has a short side that is

Answer 1

1. Let's call the short side $x$ and the long side $y$.

2. The problem says that the short side is 1/3 the length of the long side. So, you can write the following expression:

$x=\frac{1}{3}y$

3. The formula for calculate the area of a rectangle is:

$A=xy$

4. Then, you must substitute $x=\frac{1}{3}y$ and the value of the area into the formula and solve for $y$ (The long side):

$120,000=(\frac{1}{3}y)(y)\\120,000=\frac{1}{3}y^{2}\\y=\sqrt{(120,000)(3)}\\y=600$

5. Now, you can calculate $x$ (The short side):

$x=(\frac{1}{3})(600)\\x=200$

Therefore, the answer is: 600 feet by 200 feet.