Question

Two garden plots are to have the same area. One is square and one is rectangular. The rectangular plot is 2 meters wide and 8 meters long. How large is one side of the square garden plot in meters?​

Answer 1

First, let's look at the formulas for the area of square and area of the rectangle.

$A_{square}=a^2$

$A_{rectangle}=a\cdot b$

And what this exercise states is that the areas are the same. So:

$A_{square}=A_{rectangle}\Longrightarrow a^2=a\cdot b$

Now put in the data.

$a^2=2\cdot8$

Solve for $a$:

$a=\sqrt{2\cdot8}=\sqrt{16}=\boxed{4}$

The side of the square garden plot is 4 meters.

Hope this helps.

r3t40