Area = 85ft²
To find the area of the given square you can use the following equation
[tex]Area = Side^2\\Area = 8^2\\Area = 64[/tex]
To find the missing side of the given triangle, you will have to use Pythagorean's theorem
[tex]Short^2 + Long^2 = Hypotenuse^2\\Short^2 + 8^2 = 10^2\\Short^2 + 64 = 100\\Short^2 = 100 - 64\\Short^2 = 36\\Short= \sqrt{36} \\Short= 6 \\[/tex]
Now that we know what both sides are we can use the following equation to get the area of the triangle
[tex]Area = \frac{Side*Side}{2} \\Area = \frac{6*8}{2} \\Area = \frac{42}{2} \\Area = 21 \\[/tex]
After that, we can add both areas together and get the following
[tex]21+64=85[/tex]
