How to find the perimeter of a parallelogram - Math
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What is the perimeter of parallelogram ABCD?

What is the perimeter of parallelogram ABCD?
The perimeter of a parallelogram is very easy to find. You just need to add up all the sides. However, you need to notice that the sides "across" from each other are equal on parallelograms. So, your figure could be redrawn:

The perimeter of your figure is therefore:

The perimeter of a parallelogram is very easy to find. You just need to add up all the sides. However, you need to notice that the sides "across" from each other are equal on parallelograms. So, your figure could be redrawn:

The perimeter of your figure is therefore:
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A parallelogram has a side length of
. It also has a side length of
. Calculate the perimeter.
A parallelogram has a side length of . It also has a side length of
. Calculate the perimeter.
A parallelogram has four sides and its opposite sides are equal in length. Therefore, if it has one side length of
, it also has another side length of of
. Since we know one of its side lenghts is
, then the remaining side is
. We can add all 4 side lengths
to calculate the perimeter.
A parallelogram has four sides and its opposite sides are equal in length. Therefore, if it has one side length of, it also has another side length of of
. Since we know one of its side lenghts is
, then the remaining side is
. We can add all 4 side lengths
to calculate the perimeter.
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What is the perimeter of a parallelogram if the base is
, the other side is
, and the height is
?
What is the perimeter of a parallelogram if the base is , the other side is
, and the height is
?
The perimeter of a parallelogram is the sum of all four sides or the sum of two times each side length. The side lengths are
and
so the perimeter is
.
The perimeter of a parallelogram is the sum of all four sides or the sum of two times each side length. The side lengths are and
so the perimeter is
.
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Find the perimeter of the given parallelogram:

Find the perimeter of the given parallelogram:
Find the perimeter of the given parallelogram:

The perimeter of any shape can be found by adding up the lentghs of its sides.
In this case, we have four sides. 2 that are 16 miles long, and 2 that are 144 miles long.
Find perimeter as follows:

Making our answer 320 miles
Find the perimeter of the given parallelogram:
The perimeter of any shape can be found by adding up the lentghs of its sides.
In this case, we have four sides. 2 that are 16 miles long, and 2 that are 144 miles long.
Find perimeter as follows:
Making our answer 320 miles
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Note: Figure NOT drawn to scale.
, where
and
represent side lengths of the parallelogram and
represents the height.
Find the perimeter of the parallelogram in the diagram.

Note: Figure NOT drawn to scale.
, where
and
represent side lengths of the parallelogram and
represents the height.
Find the perimeter of the parallelogram in the diagram.
The perimeter of the parallelogram is the sum of the four side lengths - here, that formula becomes
.
Note that the height
is irrelevant to the answer.
The perimeter of the parallelogram is the sum of the four side lengths - here, that formula becomes
.
Note that the height is irrelevant to the answer.
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If the perimter of a parallelogram is
and one of the sides is
, what is the other side length?
If the perimter of a parallelogram is and one of the sides is
, what is the other side length?
The perimeter of a parallelogram is found by adding up all four sides.
Since there are two pairs of side with equal lengths, two sides must have a length of
.
So the perimeter would be
or
.
To find the value of the other side length, you would divide the remaining perimeter not include in the other sides by
.
So
.
That means the other side length would be
.
The perimeter of a parallelogram is found by adding up all four sides.
Since there are two pairs of side with equal lengths, two sides must have a length of .
So the perimeter would be
or
.
To find the value of the other side length, you would divide the remaining perimeter not include in the other sides by .
So .
That means the other side length would be .
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If a parallelogram has side lengths of
and
, what is the perimeter?
If a parallelogram has side lengths of and
, what is the perimeter?
The perimeter of a parallelogram is two times the two side lengths and add them together.

Therefore, this particular problem becomes as follows.

and

so
.
The perimeter of a parallelogram is two times the two side lengths and add them together.
Therefore, this particular problem becomes as follows.
and
so
.
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Find the perimeter (in inches) of a parallelogram that has a base of
and a side length of
.
Find the perimeter (in inches) of a parallelogram that has a base of and a side length of
.
To find the perimeter of the parallelogram apply the formula:
. However, to find the solution with the correct unit, convert
and
. We can convert feet into inches because
.
Thus, the solution is:



To find the perimeter of the parallelogram apply the formula: . However, to find the solution with the correct unit, convert
and
. We can convert feet into inches because
.
Thus, the solution is:
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A parallelogram has a base length of
and a side length of
. Find the perimeter of the parallelogram.
A parallelogram has a base length of and a side length of
. Find the perimeter of the parallelogram.
To solve this problem, apply the formula:
.
Since, the side length is equal to
, the solution is:



To solve this problem, apply the formula: .
Since, the side length is equal to , the solution is:
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Find the perimeter of the parallelogram shown above.

Find the perimeter of the parallelogram shown above.
In order to find the perimeter of this parallelogram, apply the formula:
.
The solution is:


In order to find the perimeter of this parallelogram, apply the formula:
.
The solution is:
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If a parallelogram has a base that is three times the length of the side, and the side length is equal to
, what is the perimeter of the parallelogram in inches?
If a parallelogram has a base that is three times the length of the side, and the side length is equal to , what is the perimeter of the parallelogram in inches?
The side length of this parallelogram is
foot, which is equivalent to
inches because
.
Thus, the base must be
.
Then, apply the formula 


The side length of this parallelogram is foot, which is equivalent to
inches because
.
Thus, the base must be .
Then, apply the formula
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Find the perimeter of the parallelogram shown above.

Find the perimeter of the parallelogram shown above.
To find the perimeter of this parallelogram, first find the length of the side:
.
Since,
, the side must be
.
Then apply the formula:



To find the perimeter of this parallelogram, first find the length of the side: .
Since, , the side must be
.
Then apply the formula:
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A parallelogram has a side length
that of the length of the base. If the length of the base is
, find the perimeter of the parallelogram.
A parallelogram has a side length that of the length of the base. If the length of the base is
, find the perimeter of the parallelogram.
Since the side is
the length of the base, the side is equal to
.
Then apply the formula
.
The solution is:


Since the side is the length of the base, the side is equal to
.
Then apply the formula .
The solution is:
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If a parallelogram has a base of
and a side length of
, find the perimeter of the parallelogram.
If a parallelogram has a base of and a side length of
, find the perimeter of the parallelogram.
To solve this problem, apply the formula:
.
Thus, the solution is:



To solve this problem, apply the formula: .
Thus, the solution is:
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Find the perimeter of the parallelogram shown above.

Find the perimeter of the parallelogram shown above.
To solve this problem, apply the formula
.
Since the length of the side is not provided in the figure, apply the formula
, where
,
and
the side of the parallelogram.
The solution is:




Thus,

To solve this problem, apply the formula .
Since the length of the side is not provided in the figure, apply the formula , where
,
and
the side of the parallelogram.
The solution is:
Thus,
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A parallelogram has a base that is
times greater than the length of the side of the parallelogram. If the length of the side is
, what is the perimeter of the parallelogram?
A parallelogram has a base that is times greater than the length of the side of the parallelogram. If the length of the side is
, what is the perimeter of the parallelogram?
To solve this problem, first find the
. Then to find the length of the base:
Then apply the formula:
.


To solve this problem, first find the . Then to find the length of the base:
Then apply the formula:
.
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ABCD is a parallelogram. BD = 5. The angles of triangle ABD are all equal. What is the perimeter of the parallelogram?

ABCD is a parallelogram. BD = 5. The angles of triangle ABD are all equal. What is the perimeter of the parallelogram?

If all of the angles in triangle ABD are equal and line BD divides the parallelogram, then all angles in triangle BDC must be equal as well.
We now have two equilateral triangles, so all sides of the triangles will be equal.
All sides therefore equal 5.
5+5+5+5 = 20
If all of the angles in triangle ABD are equal and line BD divides the parallelogram, then all angles in triangle BDC must be equal as well.
We now have two equilateral triangles, so all sides of the triangles will be equal.
All sides therefore equal 5.
5+5+5+5 = 20
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A parallelogram, with dimensions in cm, is shown below. 
What is the perimeter of the parallelogram, in cm?
A parallelogram, with dimensions in cm, is shown below.
What is the perimeter of the parallelogram, in cm?
The triangle on the left side of the figure has a
and a
angle. Since all of the angles of a triangle must add up to
, we can find the angle measure of the third angle:


Our third angle is
and we have a
triangle.
A
triangle has sides that are in the corresponding ratio of
. In this case, the side opposite our
angle is
, so

We also now know that


Now we know all of our missing side lengths. The right and left side of the parallelogram will each be
. The bottom and top will each be
. Let's combine them to find the perimeter:




The triangle on the left side of the figure has a and a
angle. Since all of the angles of a triangle must add up to
, we can find the angle measure of the third angle:
Our third angle is and we have a
triangle.
A triangle has sides that are in the corresponding ratio of
. In this case, the side opposite our
angle is
, so
We also now know that
Now we know all of our missing side lengths. The right and left side of the parallelogram will each be . The bottom and top will each be
. Let's combine them to find the perimeter:
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Find the perimeter of the following parallelogram:

Find the perimeter of the following parallelogram:

The formula for the perimeter of a trapezoid is:
,
where
is the length of the base and
is the length of the edge.
Opposite sides of a parallelogram have the same length. Therefore, both edges are
and both bases are
.
Plugging in our values, we get:

The formula for the perimeter of a trapezoid is:
,
where is the length of the base and
is the length of the edge.
Opposite sides of a parallelogram have the same length. Therefore, both edges are and both bases are
.
Plugging in our values, we get:
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