Question

A square field has an area of 479ft^2. What is the approximate length of a side of the field? Give your answer to the nearest foot. Explain your response. PLZ HELP

Answer 1

For any square the area is given by $A=s^{2}$ where $s$ is the length of one side. (This comes from the general rectangle formula $A=lw$ with $l=w=s$).

To solve for $s$ we take the square root of both sides:
$A=s^{2}$
$\sqrt{A}=\sqrt{s^{2}}$
$s=\sqrt{A}$

Now we can substitute known values:
$s=\sqrt{A}$
$s=\sqrt{479}$
$s=21.886068 \approx 22feet$