Find the compound area of the following shape. Do not include units in your answer. *
Please Answer

The answer is 90.

Step-by-step explanation: This is because if you cut the shape horozontaly than it is going to be seperated and the equation will looks like this:

(6 x 9) + (6 x 6)

6 x 9 is 54 and 6 x 6 is 36

If you add them together than you get 90.

Sorry if it is wrong but hope it helps you in any way!

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4