Question

What is the altitude of a rhombus if its area is 50 square meters and the length on one side is 12.5 meters

Answer 1

8 meters or 4 meters

Explanation:

We know that for finding the area of a rhombus, there are two diagonal sides: one of which is 12.5 meters in length and the other one we'll assume to be y.

Then, we can write:

Area of rhombus =
`(1)/(2) *12.5*y`

`50=(1)/(2) *12.5*y`

`y=(100)/(12.5)`

`y=8` meters

If the sides of the rhombus are not internally diagonal, then we can simply use the following formula:

Area of rhombus = altitude * side

`50=a*12.5`

`a=4` meters