Question

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

Answer 1

The height is 12√2

Explanation:

Area of a parallelogram = base × height

From the question

Area = 8√90

base = 2√5

Substitute the values into the above formula and solve for the height

That's

`8 √(90) = 2 √(5) h \\ h = (8 √(90) )/(2 √(5) ) \\ h = (24 √(10) )/(2 √(5) )`

Reduce the fraction with 2

That's

`h = (12 √(10) )/( √(5) )`

Split √10

We have

`h = (12 √(2) * √(5) )/( √(5) )`

Reduce the fraction with√5

We have the final answer as

12√2

Hope this helps you