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

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Question

Parallelogram

Find the perimeter of the parallelogram if h=, b=, and c=.

Answer

In order to find the perimeter, find the sum of each OUTER side:

Notice the height isn't used in this calculation.

Keep in mind that the sides directly opposite of each other are of the same length. This is why we have and appearing twice in our work.

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Question

Parallelogram

Find the perimeter of the given parallelogram if

Answer

In order to find the perimeter, we find the sum of the OUTER sides:

Parallelogram_labeled

Notice that we didn't use the height in our calculation.

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Question

Parallelogram

Find the perimeter of the given parallelogram if

Answer

In order to find the perimeter of the parallelogram, we must add the OUTER edges:

Parallelogram_labeled

Notice that we didn't use height in our calculation.

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Question

Parallelogram

Find the perimeter of the given parallelogram if

Answer

In order to find the perimeter, we must find the sum of the outer edges:

Parallelogram_labeled

Notice that we didn't use height in our calculation.

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Question

Parallelogram

Find the perimeter of the given parallelogram if

Answer

In order to find the perimeter, we need to find the sum of the outer edges:

Parallelogram_labeled

Notice that we didn't use height in our calculation.

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Question

Parallelogram

Find the perimeter of the given parallelogram if

Answer

In order to find the perimeter, we must find the sum of the outer edges: Parallelogram_labeled

Notice that we didn't use height in our calculation.

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Question

Find the area of a parallelogram with base length and side length .

Answer

The area of a parallelogram with height and base can be found with the equation . However, while we have been given the length of the base and of another side of the parallelogram, we still do not know the length of the base. Therefore, we do not have enough information to find the area.

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Question

Find the perimeter of a parallelogram with a height of , a base of , and a side of length .

Answer

The perimeter of a parallelogram is the sum of the length of its sides. Since we know the length of the base and of another side, we know that the remaining sides of the parallelogram match those lengths. Therefore:

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