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Example Questions
Example Question #133 : How To Find The Area Of A Square
Square A has an area of . The sides of Square B are triple the size of the sides of Square A. What is the area of Square B?
Because the area of Square A is , and the formula for the area of a square is , we simply plug it in, as follows:
So the length of Square A's sides is . In order to get the length of Square B's sides, we must multiply this by , which gives us .
We then plug this into the formula for area:
Example Question #135 : How To Find The Area Of A Square
What is the area of a square that has side lengths of 4 inches?
To find the area of a square you must know that a square has four sides and all sides are the same length. The formula for finding the area of a square is the length multiplied by the width, or .
The length times width in this case would be .
When answering an area question the answer must be put in units squared, or . In this case it would be inches squared, or .
Therefore the answer is
Example Question #821 : Basic Geometry
What is the area of a square that has side lengths of 10 inches?
To find the area of a square you must know that a square has four sides and all sides are the same length. The formula for finding the area of a square is the length multiplied by the width, or .
The length times width in this case would be .
When answering an area question the answer must be put in units squared, or . In this case it would be inches squared, or .
Therefore the answer is
Example Question #412 : Quadrilaterals
One of the sides of a square has a length of . The perimeter of the square is 4 times larger than one side of the square. What is the area of the square?
There is not enough information given.
The formula for the area of a square is , with being one side of the square. Since we know one side is , we simply plug this in to get the area, as follows:
.
*Note that while the statement about perimeter is true (and always will be, since the formula for the perimeter of a square is ), this statement is not needed to solve the problem.
Example Question #822 : Basic Geometry
A cube has a side length of 5 inches. What is the total surface area of all its faces?
None of these.
A cube has 6 faces with congruent squares. Since the length of one edge is 5 inches, the area of that face is .
Multiply this by the 6 faces present to get .
Example Question #822 : Plane Geometry
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 #822 : Plane Geometry
If the area of the square is , find the length of one side of the square.
To find the length of one side, we have to work backwards using the formula to find the area of a square.
That formula is
.
Since we know the area is , we can plug that into the equation and solve for .
Take the square root of to find .
This means that our final answer is and that is the length of one side of the square.
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 #823 : Plane Geometry
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 #824 : Plane Geometry
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 .
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