Basic Geometry : How to find the area of a square
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Example Questions
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 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 #152 : 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.
Example Question #152 : 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 for some reason the baseball players decided to play with the basepaths at half of their usual length, what would the area of the infield be?
If the base paths were half of their original length they would be 45 feet long.
To find the area of this new square, one must multiply 45 times 45.
This equals 2025 square feet.
Example Question #431 : Quadrilaterals
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 #432 : Quadrilaterals
True or false: The area of a square with sidelength 3 is 12.
False
True
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 #841 : Basic Geometry
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 #842 : Basic Geometry
A square has perimeter 64. True or false: the area of the square is 256.
False
True
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 #843 : Basic Geometry
A square is circumscribed on a circle with a 6 inch radius. What is the area of the square, in square inches?
48
36
24
144
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.
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