Question

Work with a partner. Find the side length of the square. Explain your method.

Answer 1

Find the side length of the given square.

Given that, $A=\frac{4}{9}f{t}^2$

Use the formula for the area of a square.

$Area\left(A\right)={\left(side\right)}^2$ (Write the formula)

$\Rightarrow \frac{4}{9}=s^2$ (Substitute $\frac{4}{9}$ for A and s for side)

$\Rightarrow \sqrt{\frac{4}{9}}=s$ (Taking the positive square root of each side)

$\Rightarrow \frac{2}{3}=s$ (Simplify)

$\therefore s=\frac{2}{3}ft$

Hence, the side length of the given square is $\frac{2}{3}ft$.