SSAT Upper Level Math : Geometry
Study concepts, example questions & explanations for SSAT Upper Level Math
All SSAT Upper Level Math Resources
Example Questions
Example Question #1 : How To Find The Perimeter Of A Pentagon
A regular pentagon has perimeter 42 meters. What is the length of one side in centimeters?
One meter is equal to 100 centimeters, so the perimeter of 42 meters can be expressed as follows:
In a regular pentagon, all sides are equal in length. Divide the perimeter by 5 to get the length of each side:
Example Question #2 : How To Find The Perimeter Of A Pentagon
The perimeter of a pentagon is 
Find 
The perimeter of a polygon is sum of the lengths of its sides. In this pentagon, three sides have the same length of 4 and two others have the same length of 
Now we should solve this equation for 
Example Question #3 : How To Find The Perimeter Of A Pentagon
A pentagon with perimeter 40 meters has two congruent sides of length 
The perimeter of a polygon is the sum of the lengths of its sides. Let:
Now we have:
So the length of each of those other three sides is
Example Question #4 : How To Find The Perimeter Of A Pentagon
Two sides of a pentagon have a length of 
The perimeter of a polygon is the sum of the lengths of its sides. So we can write:
Example Question #5 : How To Find The Perimeter Of A Pentagon
Each exterior angle of a pentagon is 72 degrees and the length of one side is 4 meters. Give the perimeter of the pentagon.
As each exterior angle of the pentagon is 72 degrees, each interior angle would be
That means all of the interior angles of the pentagon are identical, so we have a regular pentagon.
The perimeter of a polygon is the sum of the lengths of its sides. So the perimeter of a regular pentagon is 
So we get:
Example Question #11 : Perimeter Of Polygons
A pentagon has four congruent sides of length 
Give the perimeter of the pentagon.
The perimeter of a polygon is the sum of the lengths of its sides. So we can write:
Example Question #771 : Geometry
The sidelength of a square is equal to 
The perimeter of a square is four times its sidelength, so the perimeter of this square is
Example Question #2 : How To Find The Perimeter Of A Square
Half of the side length of a square is equal to 
Give its perimeter in terms of 
Perimeter of a square is four times the length of a side. The half-length of each side is equal to 
So we can write:
Example Question #772 : Geometry
The perimeter of a square is equal to 64 meters. Give the length of each side in centimeters.
Perimeter of a square is four times the length of a side. The perimeter is known here and equal to 64 meters. So we can write:
where 
The length of each side is 16 meters. There are 100 centimeters in a meter. So we get:
Example Question #4 : How To Find The Perimeter Of A Square
The side length of a square is equal to 
The perimeter is the total distance around the outside, which can be found by adding together the length of each side. In the case of a square, all four sides have the same length, so the perimeter is four times the length of a side. So we can write:
Perimeter of square = 
In this problem:
All SSAT Upper Level Math Resources
