Parallelograms

Help Questions

SSAT Middle Level: Quantitative › Parallelograms

Questions 1 - 10

Parallelogram

Find the perimeter of the given parallelogram if

Explanation

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.

Parallelogram

Find the perimeter of the given parallelogram if

Explanation

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.

Parallelogram

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

Explanation

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.

Parallelogram

Find the perimeter of the given parallelogram if

Explanation

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.

Parallelogram

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

Explanation

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.

Parallelogram

Find the perimeter of the given parallelogram if

Explanation

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.

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?

$320:cm^{2}$

$360:cm^{2}$

$288:cm^{2}$

$36:cm^{2}$

$38:cm^{2}$

Explanation

The formula for the area of a parallelogram is $A=b\times h$ , with base and height represented by and , respectively. Substituting values from the question:

$A=20:cm\times 16:cm$

$A=320:cm^{2}$

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?

$320:cm^{2}$

$360:cm^{2}$

$288:cm^{2}$

$36:cm^{2}$

$38:cm^{2}$

Explanation

The formula for the area of a parallelogram is $A=b\times h$ , with base and height represented by and , respectively. Substituting values from the question:

$A=20:cm\times 16:cm$

$A=320:cm^{2}$

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