Asked by laura

The bases of trapezoid $ABCD$ are $\overline{AB}$ and $\overline{CD}$. Let $M$ be the midpoint of $\overline{AD}$. If the areas of triangles $ABM$ and $CDM$ are 5 and 17, respectively, then find the area of trapezoid $ABCD$.
Answered by Anonymous
since M is the midpoint of AD, the altitude to M is half the altitude of ABCD. The triangles have the same bases as ABCD, so the sum of the two triangles is half the area of the trapezoid.
Answered by raghab
15
Answered by Anonymous
15 is not the answer
Answered by Anonymous
It is 44
Answered by AoPS
laura, stop cheating!
Answered by As if
The answer is always 21.
Or maybe it's 22. Oh well, guess it's too late now anyway.
Answered by AoPS
Please do not ask for outside help on the problems we assign in class.
Answered by nub
53
Answered by dog
46
Answered by cat
52
Answered by August Mittag
WTF LAURA THIS IS FROM AOPS GO DIE