Basic Geometry : Quadrilaterals
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Example Questions
Example Question #153 : 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.
If a field designer accidentally put two infields right next to each other, what would the area of the giant infield be?
The answer can be found multiple ways, either by adding the area of the two square infields together,
Or, by picturing the two infields as a rectangle and finding the are by measuring the length and the width. If the length of one side of an infield is 90 feet then the double infield rectangle will have a length of 180 feet and a width of 90 feet.
Therefore,
Example Question #153 : How To Find The Area Of A Square
True or false: The area of a square with sidelength 3 is 12.
True
False
False
Given the length of each side of a square, the area of the square is the square of this length. Therefore, since the square has sidelength 3, its area is
Example Question #431 : Quadrilaterals
A square has diagonals of length 1. True or false: the area of the square is 
False
True
True
Since a square is a rhombus, its area is equal to half the product of the lengths of its diagonals. Each diagonal has length 1, so the area is equal to
Example Question #431 : Quadrilaterals
A square has perimeter 1.
True or false: The area of the square is 
True
False
False
All four sides of a square have the same length, so the common sidelength is one fourth of the perimeter. The perimeter of the given square is 1, so the length of each side is 
The area of a square is equal to the square of the length of a side, so the area of this square is
Example Question #432 : Quadrilaterals
A square has perimeter 64. True or false: the area of the square is 256.
True
False
True
The length of each of the (congruent) sides of a square is one fourth its perimeter, so multiply 64 by 
The area of a square is equal to the square of the length of a side, so square 16 to get the area:
Example Question #159 : How To Find The Area Of A Square
Assume the length of each side of the square is measured in inches.
If the length of one side of a square is twice the square root of 16, what is the area of the square?
First we need to know that the square root of 16 is 4, because if we work backwards we can see that
So next we double 4 to get 8. Now we know that one side of our square is 8in.
The formula for area of a square is one side to the power of two (side times side) because all sides of a square are equal in length. So now we just take 8in and multiply it by itself (8in x 8in) we get an answer of 
Notice that our answer is in inches squared since we multiplied together two lengths in inches.
Example Question #155 : How To Find The Area Of A Square
A square is circumscribed on a circle with a 6 inch radius. What is the area of the square, in square inches?
24
144
48
36
144
We know that the radius of the circle is also half the length of the side of the square; therefore, we also know that the length of each side of the square is 12 inches.
We need to square this number to find the area of the square.
Example Question #1 : How To Find The Perimeter Of A Square
The length of one side of a square is 6 inches. What is the perimeter of the square?
To find the perimeter of a square, multiply one of its sides by 4.
Example Question #1 : How To Find The Perimeter Of A Square
The area of square 
Cannot be determined.
We know that 
We also know that since 
To get the measure of any one side of 
Therefore each side of 
To find the perimeter, multiply by 4:
Example Question #2 : How To Find The Perimeter Of A Square
A square tabletop has an area of 
First find the length of each side.
Take the square root of the area to find the side length:
Since a square has 
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