A rhombus has an area of 120 cm(squared) and one of its diagonals is 24cm. Find the length of the other diagonal

Expert Answers
lemjay eNotes educator| Certified Educator

Note one of the formula of area of rhombus is:

`A= (d_1d_2)/2`

So, apply this to solve for the other diagonal of the given rhombus.

To do so, plug-in A=120 and d1=24


To simplify right side, cancel common factor.


And, divide both sides by 12 to isolate d2.



Hence, the length of the other diagonal of the rhombus is 10 cm.

durbanville eNotes educator| Certified Educator

My mistake yes the formula is :

`A = (d_(1) times d_(2))/2`

`therefore A times 2 = d_(1) times d_(2)`

`therefore 2 times 120 = 24 times d_(2)`

`therefore 240/24 = d_(2)`

therefore the diagonal is 10cm