Question

1. Find the area of each figure to the nearest tenth.

Answer 1

Area = 85ft²

To find the area of the given square you can use the following equation

$Area = Side^2\\Area = 8^2\\Area = 64$

To find the missing side of the given triangle, you will have to use Pythagorean's theorem

$Short^2 + Long^2 = Hypotenuse^2\\Short^2 + 8^2 = 10^2\\Short^2 + 64 = 100\\Short^2 = 100 - 64\\Short^2 = 36\\Short= \sqrt{36} \\Short= 6$

Now that we know what both sides are we can use the following equation to get the area of the triangle

$Area = \frac{Side*Side}{2} \\Area = \frac{6*8}{2} \\Area = \frac{42}{2} \\Area = 21$

After that, we can add both areas together and get the following

$21+64=85$

Answer 2

The area is 85ft (2) if I’m not mistaken