Answer:
D
Step-by-step explanation:
The midsegment AC is half the sum of the parallel bases, that is
AC =
, then
x =
=
= 11 → D
Check the picture below.
so we really have 2 equal triangles with 3 rectangles, so let's get the area of each and sum them up.
![\stackrel{\textit{two equal triangles}}{2\left[ \cfrac{1}{2}(8)(6) \right]}~~+~~\stackrel{back}{(6\cdot 4)}~~ +~~\stackrel{bottom}{(8\cdot 4)}~~+~~\stackrel{top}{(10\cdot 4)}\implies 144](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7Btwo%20equal%20triangles%7D%7D%7B2%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%288%29%286%29%20%5Cright%5D%7D~~%2B~~%5Cstackrel%7Bback%7D%7B%286%5Ccdot%204%29%7D~~%20%2B~~%5Cstackrel%7Bbottom%7D%7B%288%5Ccdot%204%29%7D~~%2B~~%5Cstackrel%7Btop%7D%7B%2810%5Ccdot%204%29%7D%5Cimplies%20144)
Answer: 12.6 m
Step-by-step explanation:
Use the pythagorean theorem, we get that the height, or x, is
sqrt(22x22-18x18) = sqrt(484-324) = sqrt(160) = 4sqrt(10) = 12.6 m
Awnser is 33 I hope I helped you