Parallelograms - SSAT Middle Level Math

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Question

Parallelogram

Note: Figure NOT drawn to scale

In the above diagram,

Give the area of the parallelogram.

Answer

The area of a parallelogram is its base multiplied by its height - represented by and here:

Note that the value of is irrelevant.

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Question

Find the area of the following parallelogram:

Isee_mid_question_42

Note: The formula for the area of a parallelogram is .

Answer

The base of the parallelogram is 10, while the height is 5.

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Question

Find the area:

Question_5

Answer

The area of a parallelogram can be determined using the following equation:

Therefore,

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Question

Parallelogram

Find the area of the given parallelogram if .

Answer

In order to find the area of a parallelogram, we need to find the product of the base length and height.

Notice that only two of the given values were needed to slove this problem.

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Question

A given parallelogram has a base in length, a height in length, and a side of length opposite the height. What is the area of the parallelogram?

Answer

The formula for the area of a parallelogram is , with base and height represented by and , respectively. Substituting values from the question:

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Question

A parallelogram has a height of in length, a side of length opposite the height, and a base of . What is the area of the parallelogram?

Answer

Given base and height , .

Substituting the values from our question:

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Question

A parallelogram has a base of length , a height of length , and a side of length . What is the area of the parallelogram?

Answer

Given base and height , .

Substituting the values from our question:

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Question

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

Answer

The area of a parallelogram with height and base can be found with the equation . Consequently:

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Question

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

Answer

The area of a parallelogram with height and base can be found with the equation . Consequently:

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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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