How to find the perimeter of a parallelogram - ISEE Middle Level Math

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Question

Parallelogram

Note: Figure NOT drawn to scale.

, where and represent side lengths of the parallelogram and represents the height.

Find the perimeter of the parallelogram in the diagram.

Answer

The perimeter of the parallelogram is the sum of the four side lengths - here, that formula becomes

.

Note that the height is irrelevant to the answer.

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Question

Find the perimeter of the parallelogram.

Isee_mid_question_5

Answer

To find the perimeter of a parallelogram, add the lengths of the sides. Opposite sides of a parallelogram are equivalent.

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Question

If the perimter of a parallelogram is and one of the sides is , what is the other side length?

Answer

The perimeter of a parallelogram is found by adding up all four sides.

Since there are two pairs of side with equal lengths, two sides must have a length of .

So the perimeter would be

or .

To find the value of the other side length, you would divide the remaining perimeter not include in the other sides by .

So .

That means the other side length would be .

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Question

If a parallelogram has side lengths of and , what is the perimeter?

Answer

The perimeter of a parallelogram is two times the two side lengths and add them together.

Therefore, this particular problem becomes as follows.

and

so

.

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