Question

The area of a square is 625 cm^2. What is the measure of the diagonal to the nearest tenth?

Answer 1

if the area of a square is 625 cm2, what is its side?

Answer 2

It doesn't say

Answer 3

The Sides, since its a square, are all the same. Thus The length, a, and the width,b, are equal to each other a=b. Then you utilize the Pythagorean Theorem, \[a^{2}+b ^{2}=c ^{2}\]
Where a and b are the sides and c is the hypotenuse.

Sides are,
\[625cm^2 = a^2, a=\sqrt{625}cm\]
\[\sqrt{625}^2 + \sqrt{625}^2 = c^2 \]
C = 35.36