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Parallelogram Question

Parallelogram Question-example-1
User ManiaChamp
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Answer:

  • picture: see attached
  • area: 48 km²

Explanation:

You have a parallelogram with a base of 8 km and a height of 6 km. You want to know the equivalent rectangle, and its area.

Rectangle

The rectangle that can be formed by rearranging the parallelogram will have the same base (8 km) and the same height (6 km). The picture of it is shown in the attachment.

Area

The area of a parallelogram (or rectangle) is the product of the length of its base and its height.

A = bh

A = (8 km)(6 km) = 48 km²

The area of the parallelogram is 48 square kilometers.

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Additional comment

As with many multiple-choice problems, you can eliminate the answer choices that are wrong on their face.

The diagram on the right shows a right triangle with legs 8 km and 10 km, and a hypotenuse of 6 km. That is an impossible triangle (the hypotenuse must be longer than the long side). Eliminating the impossible gets you the right answer.

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Parallelogram Question-example-1
User Valarie
by
8.4k points

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