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

1 Find The Area Of Each Figure To The Nearest Tenth class=

Sagot :

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]

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