Basic Geometry : Squares
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Example Questions
Example Question #822 : Plane Geometry
Find the area of the square.
To find the area of the square, use the same formula:
Although the base is a radical, we can still use this formula. When we multiply two radicals, we multiply the value under the radical and take the root of that. In other words, we have to multiply 6 by 6 and take its square root.
This means we take the square root of 36, which is 6. Another way, when you multiply two square roots that are the same, the roots cancel and you get the value that is under the radical. Therefore, the area of the square is 
Example Question #142 : How To Find The Area Of A Square
Find the area of the square.
To find the area of the square, use the equation
or
For a square, the base and height are the same so to find the area, you can multiply one side by itself.
In the case of this problem, the base is 
When we square this value, the area of the square is 
Example Question #141 : How To Find The Area Of A Square
Find the area of the square.
To find the area of the square, use the equation
or
For a square, the base and height are the same so to find the area, you can multiply one side by itself.
In the case of this problem, the base is 
When we square this value, the area of the square is 
Example Question #831 : Basic Geometry
If a checkerboard is a perfect square and has a diagonal length of 
To find the area, we first need to know the length of the sides. Since this is a perfect square, we can use the Pythagorean Theorem with just the value for the diagonal:
Now that we know the length of the sides, we can solve for area, which is really just the same value as 
Example Question #141 : How To Find The Area Of A Square
What is the area of a square whose side length, 
The formula for the area of a square is 
Example Question #142 : How To Find The Area Of A Square
If the perimeter of a square is 45.2 centimeters, what is its area?
Because this is a square, all the sides are the same, so the perimeter is 4 times whatever the side lengths area.
To find the side lengths, just divide by 4:
If the side lengths are all 11.3, the area would be
Example Question #143 : How To Find The Area Of A Square
One side of a square is 9cm long. What is the perimeter and area?
Another side of the square is needed to find the perimeter and area.
Perimeter is the sum of all the sides.
A square has 4 equal sides. Therefore the perimeter is,
Area is length*width. In this case both the length and the width are 9.
Example Question #834 : Basic Geometry
The length of BC is twice the length of CD. The total area is 
None of the answers given are correct.
The area of any quadrilateral is equal to length x width. To find the area of the rectangle, set up an equation.
Since BC is twice the length of CD, you can replace the W in the equation with 2L
Now, your equation is
Bring the 2 to the other side by dividing each side by 2.
Example Question #171 : Squares
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.
What is the area of a Major League Baseball infield?
Because the infield is a square, the distance between each set of bases is 90 feet.
To find the area of a square you multiply the length by the width.
In this case
Example Question #151 : How To Find The Area 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.
What is the area of the half of the infield formed by home plate to first base, first base to second base, and an imaginary straight line between home plate and second base?
Because this imaginary triangle is half of the entire infield it means it is the area of the square infield divided by two.
If the area if the infield is 90x90=8100 then the triangle is 8100 divided by two, which equals 4050 Square Feet.
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