Posted by **mary** on Sunday, April 10, 2011 at 11:40am.

Rhombus ABCD has an area of 264 square units. If DB=12 units find AC.

So far this is what I have-

1/2(264)=132 132/2=66

66-12=44units

Is this the correct process?

- Geometry -
**bobpursley**, Sunday, April 10, 2011 at 11:59am
I don't follow your work.

Sketch the rhombas. One diagonal is 12, so half that diagonal is 6.

call that half b, so 2b=12

now call half the other diagonal a

so the length of that diagonal is 2a, and that is what you are looking for.

Now, the diagonals of a rhombus are perpendicular bisectors, so you have four right triangles, the area of which is

1/2 a b=264/4

or ab=132, but a=6, so a=22

which means 2a=44, so your answer is correct.

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