Answer:
72 square units
Step-by-step explanation:
you can use the Pythagorean Theorem; because we're dealing with a square then each side can be assigned the same variable, let's use 'a'
a² + a² = 12²
2a² = 144
a² = 72
a = [tex]\sqrt{72}[/tex]
[tex]\sqrt{72}[/tex] can be simplied as [tex]\sqrt{9}[/tex]·[tex]\sqrt{4}[/tex]·[tex]\sqrt{2}[/tex] which is 3·2·[tex]\sqrt{2}[/tex]
each side has a length of 6[tex]\sqrt{2}[/tex]
A = (6[tex]\sqrt{2}[/tex])² which is 6·6·2 or 72
