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= √(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 = (Side*Side)/(2) \\Area = (6*8)/(2) \\Area = (42)/(2) \\Area = 21 \\`

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

`21+64=85`