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, $A=225m{i}^2$

Use the formula for the area of a square.

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

$\Rightarrow 225=s^2$ (Substitute $225$ for A and s for side)

$\Rightarrow \sqrt{225}=s$ (Take the positive square root of each side)

$\Rightarrow \sqrt{15\times 15}=s$ (Substitute $225=15\times 15$)

$\Rightarrow 15=s$ (Simplify)

$\therefore s=15mi$

Hence, the side length of the given square is $15mi$.