Answer:
25 [tex]cm^{2}[/tex]
Step-by-step explanation:
The others are squares as well, meaning each of the sides are equal.
The square root of 144 is 12, meaning the side of the red square is 12.
169's square root is 13, meaning the hypotenuse of the center triangle is 13.
Now that we have a side and the hypotenuse, we can use Pythagorean theorem to find out the final side.
12^2 + x = 13^2
[tex]12^{2} + x^{2} =13^{2} \\144 + x^{2} = 169\\x^{2} = 25\\x = 5[/tex]
Now that we have the side, let's just square it to find the area.
[tex]5 * 5 = 25[/tex]
