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=√(2\cdot8)=√(16)=\boxed{4}`

The side of the square garden plot is 4 meters.

Hope this helps.

r3t40