Answer:
The answer is 20
Step-by-step explanation:
To find the hypotenuse, you use the pythagorean theorem ([tex]A^{2}+ B^{2}= C^{2}[/tex]).
We are given A and B so you insert.
[tex]2^{2}+ 4^{2} =C^{2}[/tex]
4+16=[tex]C^{2}[/tex]
[tex]C^{2}[/tex]=20
Now you take the square root of C and since it is even, I will leave it in a square root sign.
C=[tex]\sqrt{20}[/tex]
C is one side of a square and since all sides are the same, we don't have to find anymore. Now we insert C into the formula for finding the area of a square.
A=[tex]C^{2}[/tex]
A=[tex]\sqrt{20} ^{2}[/tex]
A=20
