Quadrilaterals - Geometry
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Find the perimeter of a rectangle given width 4 and length 6.
Find the perimeter of a rectangle given width 4 and length 6.
To solve, simply use the fomula for the perimeter of a square. Thus,

To solve, simply use the fomula for the perimeter of a square. Thus,
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Find the perimeter of a rectangle given width of 6 and length of 8.
Find the perimeter of a rectangle given width of 6 and length of 8.
The perimeter of a rectangle is found by adding all the side lengths together. In a rectangle there are two widths and two lengths.
In other words, simply use the formula for the perimeter of a rectangle and let,
.
Thus,

The perimeter of a rectangle is found by adding all the side lengths together. In a rectangle there are two widths and two lengths.
In other words, simply use the formula for the perimeter of a rectangle and let,
.
Thus,
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Find the perimeter of a rectangle with width 9 and length 1.
Find the perimeter of a rectangle with width 9 and length 1.
To solve, simply use the formula for the perimeter of a rectangle. Thus,

To solve, simply use the formula for the perimeter of a rectangle. Thus,
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Find the perimeter of a rectangle given length 7 and width 2.
Find the perimeter of a rectangle given length 7 and width 2.
To solve, simply use the formula for the perimeter of a rectangle. Thus,

If the formula escapes you, simply draw a picture and add all of the sides together. Rememeber, a rectangle has 4 sides, two are equal and the other 2 are equal.
To solve, simply use the formula for the perimeter of a rectangle. Thus,
If the formula escapes you, simply draw a picture and add all of the sides together. Rememeber, a rectangle has 4 sides, two are equal and the other 2 are equal.
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A square has one side of length
, what is the length of the opposite side?
A square has one side of length , what is the length of the opposite side?
One of the necessary conditions of a square is that all sides be of equal length. Therefore, because we are given the length of one side we know the length of all sides and that includes the length of the opposite side. Since the length of one of the sides is 4 we can conclude that all of the sides are 4, meaning the opposite side has a length of 4.
One of the necessary conditions of a square is that all sides be of equal length. Therefore, because we are given the length of one side we know the length of all sides and that includes the length of the opposite side. Since the length of one of the sides is 4 we can conclude that all of the sides are 4, meaning the opposite side has a length of 4.
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Find the side length of a square given the area is 144.
Find the side length of a square given the area is 144.
To solve, simply use the formula for the area of a square to solve for side length. Thus,


To solve, simply use the formula for the area of a square to solve for side length. Thus,
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The diagonal of a square has a length of 10 inches. What is the perimeter of the square in inches squared?
The diagonal of a square has a length of 10 inches. What is the perimeter of the square in inches squared?
Using the Pythagorean Theorem, we can find the edge of a side to be √50, by 2a2=102. This can be reduced to 5√2. This can then be multiplied by 4 to find the perimeter.
Using the Pythagorean Theorem, we can find the edge of a side to be √50, by 2a2=102. This can be reduced to 5√2. This can then be multiplied by 4 to find the perimeter.
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A square garden has an area of 64 square feet. If you add 3 feet to each side, what is the new perimeter of the garden?
A square garden has an area of 64 square feet. If you add 3 feet to each side, what is the new perimeter of the garden?
By finding the square root of the area of the garden, you find the length of one side, which is 8. We add 3 feet to this, giving us 11, then multiply this by 4 to get 44 feet for the perimeter.
By finding the square root of the area of the garden, you find the length of one side, which is 8. We add 3 feet to this, giving us 11, then multiply this by 4 to get 44 feet for the perimeter.
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Find the perimeter of a square that has side lengths of
.
Find the perimeter of a square that has side lengths of .
Use the following formula to find the perimeter of a square:

For the given square,

Use the following formula to find the perimeter of a square:
For the given square,
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Find the perimeter of a square that has side lengths
.
Find the perimeter of a square that has side lengths .
Use the following formula to find the perimeter of a square:

For the given square,

Use the following formula to find the perimeter of a square:
For the given square,
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Find the perimeter of a square that has side lengths of
.
Find the perimeter of a square that has side lengths of .
Use the following formula to find the perimeter of a square:

For the given square,

Use the following formula to find the perimeter of a square:
For the given square,
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Find the perimeter of a square with side length of 2.
Find the perimeter of a square with side length of 2.
To solve, simply use the formula for the perimeter of a square. Thus,

If the formula escapes you, simply sum the sides. However, you must know that all the sides in a square are equal in order to add them up. Since they are equal, the formula just shows you that you can multiply one side by 4 instead of adding them all together.
To solve, simply use the formula for the perimeter of a square. Thus,
If the formula escapes you, simply sum the sides. However, you must know that all the sides in a square are equal in order to add them up. Since they are equal, the formula just shows you that you can multiply one side by 4 instead of adding them all together.
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Are these rectangles similar?

Are these rectangles similar?
To determine if the rectangles are similar, set up a proportion comparing the short sides and the long sides from each rectangle:
cross-multiply
since that's true, the rectangles are similar.
To find the scale factor, either divide 25 by 10 or 7.5 by 3. Either way you will get 2.5.
To determine if the rectangles are similar, set up a proportion comparing the short sides and the long sides from each rectangle:
cross-multiply
since that's true, the rectangles are similar.
To find the scale factor, either divide 25 by 10 or 7.5 by 3. Either way you will get 2.5.
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Figure NOT drawn to scale
Refer to the above figure.
True or false: Rectangle
Rectangle
.
Figure NOT drawn to scale
Refer to the above figure.
True or false: Rectangle Rectangle
.
Two rectangles are similar if and only if their sides are in proportion. Specifically,
Rectangle
Rectangle 
if

Since
is located at the point
, it follows that
and
. Since
is located at the point
, it follows that
and
. Substituting in the aforementioned proportion statement, we get
.
Reducing to lowest terms, this is
.
This is false, so Rectangle
Rectangle
.
Two rectangles are similar if and only if their sides are in proportion. Specifically,
Rectangle Rectangle
if
Since is located at the point
, it follows that
and
. Since
is located at the point
, it follows that
and
. Substituting in the aforementioned proportion statement, we get
.
Reducing to lowest terms, this is
.
This is false, so Rectangle Rectangle
.
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Find the perimeter,
, of a square whose side length,
, is 7.9.
Find the perimeter, , of a square whose side length,
, is 7.9.
The formula for the perimeter of a square is
.

The formula for the perimeter of a square is
.
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If the area of a square is 12.25 square meters, what is its perimeter?
If the area of a square is 12.25 square meters, what is its perimeter?
The area of a square is found by squaring the length of each side. That means we can figure out the length of the sides by taking the square root of 12.25. 
The length of all 4 sides is 3.5 meters, since this is a square, so the perimeter is 
The area of a square is found by squaring the length of each side. That means we can figure out the length of the sides by taking the square root of 12.25.
The length of all 4 sides is 3.5 meters, since this is a square, so the perimeter is
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A square is circumscribed on a circle with a 6 inch radius. What is the area of the square, in square inches?
A square is circumscribed on a circle with a 6 inch radius. What is the area of the square, in square inches?
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.



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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A square garden has sides that are
feet long. In square feet, what is the area of the garden?
A square garden has sides that are feet long. In square feet, what is the area of the garden?
Use the following formula to find the area of a square:

For the given square,

Use the following formula to find the area of a square:
For the given square,
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In square meters, find the area of a square that has a side length of
meter.
In square meters, find the area of a square that has a side length of meter.
Use the following formula to find the area of a square:

For the given square,

Use the following formula to find the area of a square:
For the given square,
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Jennifer wants to put down carpet on her bedroom floor that is a square with side lengths of
feet. In square feet, how much carpet is needed?
Jennifer wants to put down carpet on her bedroom floor that is a square with side lengths of feet. In square feet, how much carpet is needed?
Use the following formula to find the area of a square:

For the given square,

Use the following formula to find the area of a square:
For the given square,
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