How to find the perimeter of a square - SSAT Upper Level Quantitative (Math)
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The sidelength of a square is equal to 
. Give its perimeter in terms of 
.
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
.
The perimeter of a square is four times its sidelength, so the perimeter of this square is
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The side length of a square is equal to 
. What is its perimeter in terms of 
?
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 = 
, where 
is the length of a side.
In this problem:
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:
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Half of the side length of a square is equal to 
.
Give its perimeter in terms of 
.
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 
that means the side length is equal to:
So we can write:
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:
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The perimeter of a square is equal to 64 meters. Give the length of each side in centimeters.
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 
is the length of each side. So we have:
The length of each side is 16 meters. There are 100 centimeters in a meter. So we get:
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:
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The length of each side of the square is 
. What is the perimeter of the square?
The length of each side of the square is
To find the perimter of a square, multiply the side length by 4.
To find the perimter of a square, multiply the side length by 4.
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A square has a diagonal length of 
units. What is its perimeter?
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.
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.
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The area of a square is 
. What is the perimeter of the 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.
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.
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The diagonal of a square is 
. Find the perimeter of the 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.
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.
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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: 
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
feet.
Julia wants to run one mile, or 5,280 feet; this will be
sidelengths.
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.
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.
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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 
.
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
feet.
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 
times. This is a total of
feet.
Divide by 5,280 to convert to miles:
The closest response is 1 mile.
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.
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