Question

If the area of a square is 98cm2.What is the length of its diagonal.(A=s2)

Answer 1

Answer:

14 cm

Explanation:

The area of a square is calculated as

$A=s^2$

Where s is the length of its side. Since the area is 98 cm², the length of the side is equal to

$\begin{gathered} 98=s^2 \\ \sqrt[]{98}=s \end{gathered}$

Now, the length of the diagonal can be calculated using the Pythagorean theorem where the legs are √98 and the hypotenuse is the diagonal, so

$\begin{gathered} d=\sqrt[]{(\sqrt[]{98})^2+(\sqrt[]{98})^2} \\ d=\sqrt[]{98+98} \\ d=196 \\ d=14 \end{gathered}$

Therefore, the length of its diagonal is 14 cm