SSAT Upper Level Math : Perimeter of Polygons
Study concepts, example questions & explanations for SSAT Upper Level Math
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Example Questions
Example Question #3 : How To Find The Perimeter Of A Rectangle
The length of a rectangle is 
The length of the rectangle is known, so we can find the width in terms of 
The perimeter of a rectangle is 
In order to find the perimeter we can substitute the 
Example Question #5 : How To Find The Perimeter Of A Rectangle
A rectangle has a length of 
Its perimeter is less than 7 feet.
Its perimeter is between 7.2 and 7.4 feet.
Its perimeter is between 7 and 8 feet.
Its perimeter is between 8 and 9 feet.
Its perimeter is more than 8 feet.
Its perimeter is between 7 and 8 feet.
Substitute 
The perimeter of a rectangle is 
Now we should divide the perimeter by 12 in order to convert to feet:
So the perimeter is 7 feet and 6 inches, which is between 7 and 8 feet.
Example Question #31 : Perimeter Of Polygons
Which of these polygons has the same perimeter as a rectangle with length 55 inches and width 15 inches?
A regular heptagon with sidelength two feet
A regular octagon with sidelength two feet
The other answer choices are incorrect.
A regular hexagon with sidelength two feet
A regular pentagon with sidelength two feet
The other answer choices are incorrect.
The perimeter of a rectangle is twice the sum of its length and its width; a rectangle with dimensions 55 inches and 15 inches has perimeter
All of the polygons in the choices are regular - that is, all have congruent sides - and all have sidelength two feet, or 24 inches, so we divide 140 by 24 to determine how many sides such a polygon would need to have a perimeter equal to the rectangle. However,
so there cannot be a regular polygon with these characteristics. All of the choices fail, so the correct response is that none are correct.
Example Question #1 : How To Find The Perimeter Of A Parallelogram
The base length of a parallelogram is 
The side length is half of the base length:
The perimeter of a parallelogram is:
Where:
Example Question #2 : How To Find The Perimeter Of A Parallelogram
The side length of a parallelogram is 
The base length is three times more than the side length, so we have:
Base length
The perimeter of a parallelogram is:
Where:
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:
Example Question #1 : How To Find The Perimeter Of A Parallelogram
The base length of a parallelogram is 
Let:
Side length 
The perimeter of a parallelogram is:
where:
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:
So we can write:
Example Question #6 : How To Find The Perimeter Of A Parallelogram
The base length of a parallelogram is 
The perimeter of a parallelogram is:
where:
and:
Example Question #1061 : Ssat Upper Level Quantitative (Math)
The above parallelogram has area 100. Give its perimeter.
The height of the parallelogram is 
By the 
The perimeter of the parallelogram is
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