Basic Geometry : Squares
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Example Question #73 : How To Find The Perimeter Of A Square
Know that in a Major League Baseball infield the distance between home plate and first base is 90 feet and the infield is a perfect square.
If a confused batter hits a home run and then runs the bases backwards, how far will they in total run if they make it all the way back to home plate before they realize their mistake, and then run all of the bases again in the correct order?
If running all of the bases once is 360 feet,
then running the bases twice is
Example Question #74 : How To Find The Perimeter Of A Square
A square has an area of 
If the area is 20.25 square inches, that means that the side lengths are all the square root of 20.25.
To find the perimeter, multiply by 4:
Example Question #75 : How To Find The Perimeter Of A Square
True or false: The perimeter of a square with sidelength ten inches is three feet.
False
True
False
The perimeter of a square is four times the length of a side; since the given square has ten inches as the common length of its sides, its perimeter is four times this, or
Since one foot is equal to 12 inches, three feet are equal to
The perimeter of the square is therefore not equal to three feet.
Example Question #921 : Basic Geometry
The area of the square 
The formula for the area of a square with given side length 
The formula for the perimeter of a square with given side length 
Hence, the perimeter of the square 
Example Question #74 : How To Find The Perimeter Of A Square
If the area of a square is 144, what is the perimeter?
First we need to find the measure of one side. Since formula for area of a square is
we can plug in area and find side
we have to take the square root of each side to solve for S
so
Now that we have our side we can solve for perimeter. The formula for perimeter of a square is
Since we know S=12 we multiply 12 x 4 and we get 48.
Example Question #921 : Basic Geometry
A square has an area of 
The area of a square is:
So using the numbers:
Therefore, every side of the square is 25.
Now to find the perimeter, a square has 4 equal sides:
The perimeter of the square is 100
Example Question #1 : How To Find The Length Of The Side Of A Square
A square has an area of 
The sides can be found by taking the square root of the area.
So the length of a side is 6.3 cm.
Example Question #1 : How To Find The Length Of The Side Of A Square
The perimeter of a square is 16. Find the length of each side of this square.
3
8
12
4
4
4
First, know that all the side lengths of a square are equal. Second, know that the sum of all 4 side lengths gives us the perimeter. Thus, the square perimeter of 16 is written as
where S is the side length of a square. Solve for this S
So the length of each side of this square is 4.
Example Question #1 : How To Find The Length Of The Side Of A Square
A playground is enclosed by a square fence. The area of the playground is 
We will have two formulas to help us solve this problem, the area and perimeter of a square.
The area of a square is:
where 
The perimeter of a square is:
Plugging in our values, we have:
Since all sides of a square have the same value, we can replace all 
Therefore, 
Example Question #1 : How To Find The Length Of The Side Of A Square
The area of the square shown below is 36 square inches. What is the length of one of the sides?
Cannot be determined from information given.
The area of any quadrilateral can be determined by multiplying the length of its base by its height.
Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side.
The length of one (and each) side of this square is 6 inches.
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