ABCD is a rectangle. If AC = 3c/9 and BD = 4-c, find the length of each diagonal.

Question

imstuck · Answer

Can you draw the rectangle so I can see where your letters are and to what sides they belong?

imstuck · Answer

Are AC and BD diagonals?

imstuck · Answer

I bet they are, and if they are, then they are equal in length to one another.  Like this:
$$\frac{ 3c }{ 9 }=4-c$$

anonymous · Answer

There is no picture of a rectangle but that's what the questions looks like.

imstuck · Answer

solve for c and then fill the value you find for c back into each of the expressions.

imstuck · Answer

3c=9(4-c)
3c=36-9c
3c-9c=36
-6c=36
c=-6

imstuck · Answer

Now fill -6 in for each c in your expressions. One of them yields a -2 and the other yields a 10.  Since length cannot be negative, 10 would be it.

anonymous · Answer

$$\frac{ 3(6) }{ 9 } = \frac{ 18 }{ 9 } = 2$$

anonymous · Answer

i did it wrong
oops

imstuck · Answer

That's ok.  If this is a rectangle, then both diagonals are equal to one another.  So use the one that gave a positive result.

anonymous · Answer

Okay thank you

imstuck · Answer

YW!!!  TY for the medal!

anonymous · Answer

No problem :D