How to find the length of the side of a parallelogram - Intermediate Geometry
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Find the perimeter of the following box in inches:
Find the perimeter of the following box in inches:
The answer is 
.
You can find the perimeter by adding all of its respective sides as such:
.
Adding like terms will result in
If you chose 
, you multiplied the two sides to find the area.
If you chose 
, you only added two sides. Perimeter involves all 4 sides; so double the width and length.
Just remember, the width is 12 added to 
. Not 12 times the side of 
.
The answer is
You can find the perimeter by adding all of its respective sides as such:
Adding like terms will result in
If you chose
If you chose
Just remember, the width is 12 added to
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A parallelogram has an area of 
. If the height is 
, what is the length of the base?
A parallelogram has an area of
If the area of a parallelogram is given as 
with a height of 
, we can refer back to the equation for the area of a parallelogram:
, where 
is height and 
is the length of the base.
This very quickly becomes a problem of substituting in values and finding the value of an unknown variable, in this case, 
:
If the area of a parallelogram is given as
This very quickly becomes a problem of substituting in values and finding the value of an unknown variable, in this case,
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A parallelogram has a height of 
and an area of 
. What is the length of the base of the parallelogram?
A parallelogram has a height of
To find the missing side of this parallelgram apply the formula: 
Thus, the solution is:
To find the missing side of this parallelgram apply the formula:
Thus, the solution is:
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A parallelogram has a base of 
and an area of 
. What is the height of the parallelogram?
A parallelogram has a base of
In order to find the height of this parallelogram apply the formula: 
In order to find the height of this parallelogram apply the formula:
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Given that a parallelogram has a height of 
and an area of 
. Find the base of the parallelogram.
Given that a parallelogram has a height of
In order to find the base of this parallelogram apply the formula: 
Thus, the solution is:
In order to find the base of this parallelogram apply the formula:
Thus, the solution is:
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Quadrilateral 
is both a rhombus and a rectangle.
True or false: Quadrilateral 
must be a square.
Quadrilateral
True or false: Quadrilateral
A rhombus is defined to be a parallelogram with four congruent sides; a rectangle is defined to be a parallelogram with four right angles.
A square is defined to be a parallelogram with four congruent sides and four right angles. If a parallelogram is both a rhombus and a rectangle, then it fits both characteristics and is therefore a square.
A rhombus is defined to be a parallelogram with four congruent sides; a rectangle is defined to be a parallelogram with four right angles.
A square is defined to be a parallelogram with four congruent sides and four right angles. If a parallelogram is both a rhombus and a rectangle, then it fits both characteristics and is therefore a square.
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Given: Quadrilateral 
with diagonal 
; 
.
True or false: From the information given, it follows that Quadrilateral 
is a parallelogram.
Given: Quadrilateral
True or false: From the information given, it follows that Quadrilateral
Corresponding parts of congruent triangles are, by definition, congruent. Thus, from the statement 
, it follows that:
and 
Quadrilateral 
therefore has two sets of congruent opposite sides. This is a sufficient condition for the quadrilateral to be a parallelogram.
Corresponding parts of congruent triangles are, by definition, congruent. Thus, from the statement
Quadrilateral
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