Question

Can someone explain how you got the answer!!

Answer 1

9514 1404 393

Answer:

  20 square units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

where b is the base of the parallelogram, and h is the perpendicular distance between the parallel bases. Using the numbers from the figure, we have ...

  A = 5·4 = 20 . . . . square units

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Additional comment

You will notice this is the same formula as is used for a rectangle. You can consider the parallelogram to have the same area as a rectangle of these dimensions if you look at what happens when you cut the right triangle from the right end and add it to the left end. The result is a rectangle 5 units wide and 4 units high.

The same formula applies even if the skew is so great that the bases do not overlap. (That much skew would not result in a triangle of the kind shown in this diagram.)