If the area of a square floor of a room is $$ 169 \mathrm{~cm}^{2} $$, calculate its length.

Question

UpStudy AI · Accepted Answer

To find the length of a side of a square when given the area, we can use the formula for the area of a square:

$$
A = s^2
$$

where $$ A $$ is the area and $$ s $$ is the length of a side of the square.

Given that the area $$ A = 169 \, \text{cm}^2 $$, we can rearrange the formula to solve for $$ s $$:

$$
s = \sqrt{A}
$$

Now, substituting the given area into the equation:

$$
s = \sqrt{169}
$$

Calculating the square root:

$$
s = 13 \, \text{cm}
$$

Thus, the length of each side of the square floor is $$ 13 \, \text{cm} $$.
Each side of the square floor is 13 cm long.

If the area of a square floor of a room is \( 169 \mathrm{~cm}^{2} \), calculate its length.