Question

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

Answer 1

Step-by-step explanation:

Area of the Parallogram =bh

8√90=2✓5*h

12✓2=h

...................

Answer 2

Answer:

The height is 12√2

Step-by-step 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

$8 \sqrt{90} = 2 \sqrt{5} h \\ h = \frac{8 \sqrt{90} }{2 \sqrt{5} } \\ h = \frac{24 \sqrt{10} }{2 \sqrt{5} }$

Reduce the fraction with 2

That's

$h = \frac{12 \sqrt{10} }{ \sqrt{5} }$

Split √10

We have

$h = \frac{12 \sqrt{2} \times \sqrt{5} }{ \sqrt{5} }$

Reduce the fraction with√5

We have the final answer as

12√2

Hope this helps you