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Please please please please help I don’t understand this question

The area of a parallelogram is 240. If the base is reduced to one-fourth its original length and it’s height is doubled, what is the new area?

A. 30
B. 60
C. 120
D. 240

Respuesta :

Answer:

120 units² (Answer C)

Step-by-step explanation:

The area of a parallelogram of base b and height h is A = bh, and here

A = bh = 240 units².

Doubling the height would give us a new height of 2h, and taking a quarter of the original base (length) would give us a new base (length) of b/4.

                                                                    240 units²

Solving A = bh = 240 units² for h yields -------------------

                                                                           b

and then substituting this result for h in the new equation

A = (2h) · (b/4) yields:

            240 units²                     2 · (240 units²)

     (2 · ----------------- ) · (b/4), or ------------------------- = 120 units² (Answer C)

                    b                                       4