How to find the area of a parallelogram - Math
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Find the area of the parallelogram:

Find the area of the parallelogram:

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What is the area of the parallelogram ABCD?

What is the area of the parallelogram ABCD?
A parallelogram's area is found by multiplying its height by the base. The height of the parallelogram is not the side. It is the line that makes a right angle with the base. Therefore, the area of this parallelogram is:

A parallelogram's area is found by multiplying its height by the base. The height of the parallelogram is not the side. It is the line that makes a right angle with the base. Therefore, the area of this parallelogram is:
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What is the area of parallelogram ABCD?

What is the area of parallelogram ABCD?
A parallelogram's area is found by multiplying its height by the base. The height of the parallelogram is not the side. It is the line that makes a right angle with the base. Therefore, the area of this parallelogram is:

A parallelogram's area is found by multiplying its height by the base. The height of the parallelogram is not the side. It is the line that makes a right angle with the base. Therefore, the area of this parallelogram is:
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A parallelogram measures
along its base and is
high. Calculate the area.
A parallelogram measures along its base and is
high. Calculate the area.
The formula to calucate a parallelogram's area is:

You calculate the parallelogram's area by multiplying its base by its height. Therefore, 
The formula to calucate a parallelogram's area is:
You calculate the parallelogram's area by multiplying its base by its height. Therefore,
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A parallelogram measures
along its base and is
high. Calculate the area.
A parallelogram measures along its base and is
high. Calculate the area.
The formula to calucate a parallelogram's area is:

You calculate the parallelogram's area by multiplying its base by its height. Therefore, 
The formula to calucate a parallelogram's area is:
You calculate the parallelogram's area by multiplying its base by its height. Therefore,
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Find the area of a parallelogram whose height is
and base is
.
Find the area of a parallelogram whose height is and base is
.
To solve, simply use the formula for the area of a parallelogram. Thus,

To solve, simply use the formula for the area of a parallelogram. Thus,
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What is the area of a parallelogram if the base is
, the other side is
, and the height is
?
What is the area of a parallelogram if the base is , the other side is
, and the height is
?
The area of a parallelogram is
so the answer would be
.
The area of a parallelogram is so the answer would be
.
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Find the area of the given parallelogram:

Find the area of the given parallelogram:
Find the area of the given parallelogram:

To find the area of a parallelogram, simply do the following:

Where b is the base, and h is the height. Note that the height is the length of the perpendicular line connecting both bases. In this case, our height is 12mi and our base is 144 miles.

Find the area of the given parallelogram:
To find the area of a parallelogram, simply do the following:
Where b is the base, and h is the height. Note that the height is the length of the perpendicular line connecting both bases. In this case, our height is 12mi and our base is 144 miles.
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Find the area of the given parallelogram:

Find the area of the given parallelogram:
Find the area of the given parallelogram:

To find the area of a parallelogram, simply use the following formula for area of a parallelogram:

Where b is the base, and h is the height. Note that the height is the length of the perpendicular line connecting both bases. In this case, our height is 12 mi and our base is 144 mi.

Find the area of the given parallelogram:
To find the area of a parallelogram, simply use the following formula for area of a parallelogram:
Where b is the base, and h is the height. Note that the height is the length of the perpendicular line connecting both bases. In this case, our height is 12 mi and our base is 144 mi.
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If a parallelogram has side lengths of
and
, what is the area?
If a parallelogram has side lengths of and
, what is the area?
To find the area of a parallelogram, you use the formula,
.
Since the height in this problem is not known, you cannot solve for area.
To find the area of a parallelogram, you use the formula,
.
Since the height in this problem is not known, you cannot solve for area.
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You can solve the area of a parallelogram when you know the lengths of each of the sides. True or False?
You can solve the area of a parallelogram when you know the lengths of each of the sides. True or False?
The area of a parallelogram is found by computing
. In this situation, you would have the base which is the bottom side but you would not have the height measurement. Since you would not be able to solve for the area with just the side lengths, the statement is
.
The area of a parallelogram is found by computing . In this situation, you would have the base which is the bottom side but you would not have the height measurement. Since you would not be able to solve for the area with just the side lengths, the statement is
.
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Find the area:

Find the area:

The area of a parallelogram can be determined using the following equation:

Therefore,

The area of a parallelogram can be determined using the following equation:
Therefore,
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Find the area of a parallelogram with a base of 6 inches and a height of 9 inches.
Find the area of a parallelogram with a base of 6 inches and a height of 9 inches.
To find the area of a parallelogram, we will use the following formula:

where b is the base and h is the height of the parallelogram.
Now, we know the base has a length of 6 inches. We also know it has a height of 9 inches. Knowing this, we can substitute into the formula. We get


To find the area of a parallelogram, we will use the following formula:
where b is the base and h is the height of the parallelogram.
Now, we know the base has a length of 6 inches. We also know it has a height of 9 inches. Knowing this, we can substitute into the formula. We get
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Find the area of the parallelogram with a base length of 6 and a height of 15.
Find the area of the parallelogram with a base length of 6 and a height of 15.
Write the area formula of a parallelogram.

Substitute the dimensions into the formula.

The answer is: 
Write the area formula of a parallelogram.
Substitute the dimensions into the formula.
The answer is:
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In the above parallelogram,
is acute. Which is the greater quantity?
(A) The area of the parallelogram
(B) 120 square inches

In the above parallelogram, is acute. Which is the greater quantity?
(A) The area of the parallelogram
(B) 120 square inches
Since
is acute, a right triangle can be constructed with an altitude as one leg and a side as the hypotenuse, as is shown here. The height of the triangle must be less than its sidelength of 8 inches.

The height of the parallelogram must be less than its sidelength of 8 inches.
The area of the parallelogram is the product of the base and the height - which is 
Therefore,



(B) is greater.
Since is acute, a right triangle can be constructed with an altitude as one leg and a side as the hypotenuse, as is shown here. The height of the triangle must be less than its sidelength of 8 inches.

The height of the parallelogram must be less than its sidelength of 8 inches.
The area of the parallelogram is the product of the base and the height - which is
Therefore,
(B) is greater.
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Parallelogram A is below:

Parallelogram B is below:

Note: These figures are NOT drawn to scale.
Refer to the parallelograms above. Which is the greater quantity?
(A) The area of parallelogram A
(B) The area of parallelogram B
Parallelogram A is below:

Parallelogram B is below:

Note: These figures are NOT drawn to scale.
Refer to the parallelograms above. Which is the greater quantity?
(A) The area of parallelogram A
(B) The area of parallelogram B
The area of a parallelogram is the product of its height and its base; its slant length is irrelevant. Both parallelograms have the same height (8 inches) and the same base (1 foot, or 12 inches), so they have the same areas.
The area of a parallelogram is the product of its height and its base; its slant length is irrelevant. Both parallelograms have the same height (8 inches) and the same base (1 foot, or 12 inches), so they have the same areas.
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Figure NOT drawn to scale
The above figure shows Rhombus
;
and
are midpoints of their respective sides. Rectangle
has area 150.
Give the area of Rhombus
.

Figure NOT drawn to scale
The above figure shows Rhombus ;
and
are midpoints of their respective sides. Rectangle
has area 150.
Give the area of Rhombus .
A rhombus, by definition, has four sides of equal length. Therefore,
. Also, since
and
are the midpoints of their respective sides,

We will assign
to the common length of the four half-sides of the rhombus.
Also, both
and
are altitudes of the rhombus; the are congruent, and we will call their common length
(height).
The figure, with the lengths, is below.

Rectangle
has dimensions
and
; its area, 150, is the product of these dimensions, so

The area of the entire Rhombus
is the product of its height
and the length of a base
, so
.
A rhombus, by definition, has four sides of equal length. Therefore, . Also, since
and
are the midpoints of their respective sides,
We will assign to the common length of the four half-sides of the rhombus.
Also, both and
are altitudes of the rhombus; the are congruent, and we will call their common length
(height).
The figure, with the lengths, is below.

Rectangle has dimensions
and
; its area, 150, is the product of these dimensions, so
The area of the entire Rhombus is the product of its height
and the length of a base
, so
.
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Find the area of the box in square inches:

Find the area of the box in square inches:

The answer is
. You can find the area of this box by multiplying the length by its width:
Foil 
If you chose
, you added the sides to get the perimeter.
Just remember, the width is 12 added to
. Not 12 times the side of
.
The answer is . You can find the area of this box by multiplying the length by its width:
Foil
If you chose , you added the sides to get the perimeter.
Just remember, the width is 12 added to . Not 12 times the side of
.
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The perimeter of a square is
. If the sides of the square are reduced by a factor of two, what is the area of the new square?
The perimeter of a square is . If the sides of the square are reduced by a factor of two, what is the area of the new square?
The perimeter of a square is geven by
and the area of a square is given by
.
Thus 
so
.
The original side is reduced by a factor of
which results in a new side of
. The area of the new square is geven by

The perimeter of a square is geven by and the area of a square is given by
.
Thus
so .
The original side is reduced by a factor of which results in a new side of
. The area of the new square is geven by
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