16. The area of a parallelogram is 120. If the base is reduced to one-half its original length, and its height is quadrupled, what is the new area?

(20 pts)

30

60

120

240

Respuesta :

Correct option is D) 240 .

Step-by-step explanation:

Here we have , The area of a parallelogram is 120. If the base is reduced to one-half its original length, and its height is quadrupled, We need to find new area . Let's find out:

We know that area of parallelogram is given by :

⇒ [tex]Area = B(h)[/tex]

According to question , New dimensions are

[tex]B = \frac{1}{2} B\\h = 4h[/tex]

So ,

⇒ [tex]Area = B(h)[/tex]

⇒ [tex]Area = (\frac{1}{2} B)(4h)[/tex]

⇒ [tex]Area = 2B(h) = 2(120)[/tex]

⇒ [tex]Area = 240[/tex]

Therefore , Correct option is D) 240 .