Question

The diagonal of a square is 62 centimeters.Find the length of one side and the perimeter of thesquare. Round to the nearest centimeter.}Sun

Answer 1

Answer:

Length of one side = 44cm

The perimeter of the square = 176cm

Explanation:

From the above square, we can see that two right triangles are formed by the diagonal and each two sides of the square.

So we can use Pythagorean Theorem to determine the length of one side of the square as shown below;

$\begin{gathered} 62^2=s^2+s^2 \\ 3844=2s^2 \\ s^2=\frac{3844}{2} \\ s=\sqrt[]{1922} \\ s=44\operatorname{cm}\text{ (to the nearest centimeter)} \end{gathered}$

The perimeter of a square can be found using the below formula;

$P=4s$

where s = length of each side of the square = 44cm

Let's substitute the value of s into the above formula and solve for P;

$P=4(44)=176\operatorname{cm}$