Answer:
[tex]Area = 58 \ units^2[/tex]
Step-by-step explanation:
We can start by finding the third side of the triangle/the side of the square using the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
In this case the side length of the square would be represented by the variable "c" as it is the hypotenuse:
[tex]3^2+7^2=c^2[/tex]
[tex]9+49=c^2[/tex]
[tex]c^2=58[/tex]
[tex]c=\sqrt{58} [/tex]
Since the area of a square is the side length square then...
[tex]Area =( \sqrt{58} )^2[/tex]
The square root and the squared cancel out giving us...
[tex]Area = 58 \ units^2[/tex]
