find the area of the trapezoid

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find the area of the trapezoid

Mathematics
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|dw:1436916462396:dw|
\[\huge~\rm~A=\frac{ a+b }{ 2}h\]
Can you figure out what a b h are?

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Other answers:

remember that a trapezoid has 2 bases
the answer choices are a) 44 b) 48 c) 90 cd) 100
*d) 100
hmmmm how did you get 100?
\[\huge~\rm~A=\frac{ a+b }{ 2}h\]Can you figure out what a b h are?
@jdoe0001 he meant the answer choice :P
ohh ahemm hehe
a and b are the bases of the trapezoid
right what are their values?
hint |dw:1436917508346:dw|
8+14/2=22/2=11 5x11=55
a=8 b=14 h=?
|dw:1436917675313:dw|
how do you find the height?
its given
well.. I should have put the tickmark on the side itself =( |dw:1436917793358:dw|
|dw:1436916989730:dw| look at this thing that @jdoe0001 drew
we have a bit of a misunderstanding here, the height isn't 5 |dw:1436917040544:dw|
if the two slanted sides, are equal, that means, the angles they make above and down below, are also equal and if those angles are equal, the "gaps" at the bottom are also equal
now, if we take one of the triangles on the side, we can solve for height using the Pythagorean theorem |dw:1436917106452:dw|
h=2
hehee anyhow @EXOEXOEXO Vocaloid just pull "3" out of his pocket there any ideas where he got that from?
nvm
oh, right I should probably explain where the 3 came from, haha |dw:1436917232181:dw|
h=4
(I drew a rectangle connecting the bottom of the trapezoid to the top of the rectangle, giving us 8 + 2x = 14, meaning that each of the little segments is 3) but yeah, h = 4, and now you can go back to the formula
I found a formula for the height here: http://www.1728.org/quadtrap.htm We will have to call: a = 14 b = 5 c = 8 d = 5 height^2 = (a+b+-c+d)*(-a+b+c+d)*(a-b-c+d)*(a*b-c-d) / 4 * (a -c)^2 height^2 = (16*4*6*6) / 4 * 36 height^2 = 16 height = 4
Hey hey we agree about the height !! :-)
thanks everyone for helping me!
Area = [(a+c) / 2] * height Area = [(14 + 8) / 2] * 4 Area = 44
'sokay - glad to help out :-)

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