Question

What is the length of the longer diagonal of a rhombus if its area is 16 and the length of one of the diagonals is 8?

Answer 1

The area for a rhombus is
`A= (1)/(2)( d_(1) d_(2) )`. We have the area and the length of one of the diagonals, so we fill in accordingly:
`16= (1)/(2) (8x)`. 8x/2 = 4x, so now we have 16=4x. Divide both sides by 4 to get x = 4. It's not longer than 8, but it's the length of the other diagonal, for sure.