SSAT Upper Level Math : Perimeter of Polygons
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Example Questions
Example Question #3 : How To Find The Perimeter Of A Square
The length of each side of the square is 
To find the perimter of a square, multiply the side length by 4.
Example Question #4 : How To Find The Perimeter Of A Square
A square has a diagonal length of 
Since the diagonal of a squre is also the hypotenuse of a right triangle whose legs are the sides of the square, use the Pythagorean Theorem to find out the lengths of the sides of the square.
Now, multiply the side length by 4 to find the perimter.
Example Question #4 : How To Find The Perimeter Of A Square
The area of a square is 
To figure out the perimeter, we need to first find the length of 1 side of the square.
Find the length of a side of the square using the information given about the area.
Now, multiply the side length by 4.
Example Question #8 : How To Find The Perimeter Of A Square
The diagonal of a square is 
The diagonal of a square is also the hypotenuse of a triangle whose legs are two sides of the square. Using that information, we can find the length of each side of the square.
Now, multiply the side length by 4 to find the perimeter.
Example Question #9 : How To Find The Perimeter Of A Square
The track at Harriet Beecher Stowe High School is a perfect square of with diagonal 600 feet, and is shown in the above figure. Beginning at point A, Corinne runs around the track clockwise three complete times, then contunes to run until she reaches point B. Which of the following comes closest to the distance Corinne runs?
You will need to know that 
A square with diagonal 600 feet will have as its sidelength
If Corinne runs the entire perimeter of the square three times, and then runs on to Point B, she will run this distance a total of about 
Divide by 5,280 to convert to miles:
The closest response is 1 mile.
Example Question #6 : How To Find The Perimeter Of A Square
The track at Frederick Douglass High School is a perfect square of with diagonal 400 feet, and is shown in the above figure. Julia wants to run around the track for one mile. If Julia starts at point A and runs clockwise, where will she be after she has run for a mile?
A hint:
A square with diagonal 400 feet will have as its sidelength
Julia wants to run one mile, or 5,280 feet; this will be
Julia will run around the track four times, then another 2 sidelengths. She will then run seven-tenths of the length of the "bottom" side, ending up at point D.
Example Question #1 : How To Find The Perimeter Of A Rectangle
The length and width of a rectangle are 
A rectangle has perimeter 
Example Question #792 : Geometry
A rectangle has length 30 inches and width 25 inches. Which of the following is true about its perimeter?
Its perimeter is between 10 and 11 feet.
Its perimeter is between 8 and 9 feet.
Its perimeter is between 4 and 5 feet.
Its perimeter is between 5 and 6 feet.
Its perimeter is between 9 and 10 feet.
Its perimeter is between 9 and 10 feet.
In inches, the perimeter of the rectangle can be calculated by substituting 
The perimeter is 110 inches.
Now divide by 12 to convert to feet:
This makes the perimeter 9 feet 2 inches, which is between 9 feet and 10 feet.
Example Question #2 : How To Find The Perimeter Of A Rectangle
Perimeter of a rectangle is 36 inches. If the width of the rectangle is 3 inches less than its length, give the length and width of the rectangle.
Let:
The perimeter of a rectangle is 
So we can get:
Example Question #3 : How To Find The Perimeter Of A Rectangle
The length and width of a rectangle are 
The perimeter of a rectangle is 
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