Question

Find the area. The figure is not drawn to scale.

Answer 1

96

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
`b=√(c^2-a^2)`....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..

`b=√(10^2-8^2)`

Now you do the math

`b=√(100-64) \\b=√(36) \\b=6`

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 :)