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 .