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

`120=(24d_2)/2`

To simplify right side, cancel common factor.

`120=12d_2`

And, divide both sides by 12 to isolate d2.

`120/12=(12d_2)/12`

`10=d_12`

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