All SSAT Upper Level Math Resources
Example Questions
Example Question #1 : How To Find The Perimeter Of A Parallelogram
The base length of a parallelogram is which is two times more than its side length. Give the perimeter of the parallelogram in terms of .
The side length is half of the base length:
The perimeter of a parallelogram is:
Where:
is the base length of the parallelogram and is the side length
Example Question #2 : How To Find The Perimeter Of A Parallelogram
The side length of a parallelogram is and the base length is three times more than side length. Give the perimeter of the parallelogram in terms of .
The base length is three times more than the side length, so we have:
Base length
The perimeter of a parallelogram is:
Where:
is the base length of the parallelogram and is the side length. So we get:
Example Question #3 : How To Find The Perimeter Of A Parallelogram
The base length of a parallelogram is 10 inches and the side length is 6 inches. Give the perimeter of the parallelogram.
Like any polygon, the perimeter of a parallelogram is the total distance around the outside, which can be found by adding together the length of each side. In case of a parallelogram, each pair of opposite sides is the same length, so the perimeter is twice the base plus twice the side length. Or as a formula we can write:
Where:
is the base length of the parallelogram and is the side length. So we can write:
Example Question #1 : How To Find The Perimeter Of A Parallelogram
The base length of a parallelogram is . If the perimeter of the parallelogram is 24, give the side length in terms of .
Let:
Side length .
The perimeter of a parallelogram is:
where:
is the base length of the parallelogram and is the side length. The perimeter is known, so we can write:
Now we solve the equation for :
Example Question #5 : How To Find The Perimeter Of A Parallelogram
The base length of a parallelogram is identical to its side length. If the perimeter of the parallelogram is 40, give the base length.
The perimeter of a parallelogram is:
Where:
is the base length of the parallelogram and is the side length. In this problem the base length and side length are identical, that means:
So we can write:
Example Question #6 : How To Find The Perimeter Of A Parallelogram
The base length of a parallelogram is and the side length is . Give the perimeter of the parallelogram in terms of and calculate it for .
The perimeter of a parallelogram is:
where:
is the base length of the parallelogram and is the side length. So we have:
and:
Example Question #1061 : Ssat Upper Level Quantitative (Math)
The above parallelogram has area 100. Give its perimeter.
The height of the parallelogram is , and the base is . By the Theorem, . Since the product of the height and the base of a parallelogram is its area,
By the Theorem,
, and
The perimeter of the parallelogram is
Example Question #41 : Perimeter Of Polygons
Give the perimeter of the above parallelogram if .
By the Theorem:
, and
The perimeter of the parallelogram is