Question

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Answer 1

Answer:

$Area = 58 \ units^2$

Step-by-step explanation:

We can start by finding the third side of the triangle/the side of the square using the Pythagorean Theorem:

$a^2+b^2=c^2$

In this case the side length of the square would be represented by the variable "c" as it is the hypotenuse:

$3^2+7^2=c^2$

$9+49=c^2$

$c^2=58$

$c=\sqrt{58}$

Since the area of a square is the side length square then...

$Area =( \sqrt{58} )^2$

The square root and the squared cancel out giving us...

$Area = 58 \ units^2$