Answer:
96
Step-by-step explanation:
By using the Pythagorean Theorem we can find the side of one triangle and use that to find the area of the whole rectangle..
So we know that leg 1 is 8 and the hypotenuse is 10 so in order to find leg 2 we need to use [tex]b=\sqrt{c^2-a^2}[/tex]....Where b is the side we are trying to find
So by plugging in 10 for c and 8 for a because c is the hypotenuse and a is leg 1 we get..
[tex]b=\sqrt{10^2-8^2}[/tex]
Now you do the math
[tex]b=\sqrt{100-64} \\b=\sqrt{36} \\b=6[/tex]
Now with that information, you know that leg 2 or the shorter side is 6 inches
So, you add 8 and 8 because the height together is 16 then you multiply by 6 and you get 96 for the area of the entire rectangle
Hope this helps and isnt too much information :)
