Question

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

Answer 1

14 cm

Step-by-step 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