For a parallelogram with a long side that is 4 times the length of its short side find the area if the height from the long side is 23 and the perimeter is 125. a. 2,875
b. ~ 514.3
c. 1,150
d. 2,200

9514 1404 393

  c.  1150 square units

Step-by-step explanation:

The sum of the two side lengths is half the perimeter, so is 125/2 = 62.5 units. The long side is 4/5 of that, so is 50 units.

The area is the product of the long side and the height to the long side:

  A = bh

  A = (50 units)(23 units) = 1150 units²

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Additional comment

This geometry is impossible, because the height from the long side cannot be more than the length of the short side. Here, the short side is 12.5 units, so it is not possible for the height to be 23 units.

If the height is measured from the short side, then the area is 287.5 square units.