Question

The area of a parallelogram is 8√90 and the base is 2√5. what is the height of the parallelogram?

Answer 1

Formula for the area of a parallelogram is

`A=\text{height}\cdot \text{base}.`

If
`A=8√(90)\ un.^2` and
`\text{base}=2√(5)\ un.,` then

`8√(90)=\text{height}\cdot 2√(5),\\ \\\text{height}=(8√(90))/(2√(5))=4\sqrt{(90)/(5)}=4√(18)=4\cdot 3√(2)=12√(2)\ un.`

Answer: the height has a length
`12√(2)\ un.`