The area of a
polygon
is the number of square units inside the polygon. Area is 2dimensional like a carpet or an area rug.


A parallelogram is a 4sided shape formed by two pairs of
parallel
lines. Opposite sides are equal in length and opposite angles are equal in measure.
To find the area of a parallelogram, multiply the base by the height. The formula is:


where
is the base,
is the height, and · means multiply.


The base and height of a parallelogram must be
perpendicular.
However, the lateral sides of a parallelogram are not perpendicular to the base. Thus, a dotted line is drawn to represent the height. Let's look at some examples involving the
area of a parallelogram.



Example 1:

Find the area of a parallelogram with a base of 12 centimeters and a height of 5 centimeters.


Solution:



= (12 cm) · (5 cm)


= 60 cm^{2}


Example 2:

Find the area of a parallelogram with a base of 7 inches and a height of 10 inches.


Solution:



= (7 in) · (10 in)


= 70 in^{2}


Example 3:

The area of a parallelogram is 24 square centimeters and the base is 4 centimeters.
Find the height.


Solution:



24 cm^{2} = (4 cm) ·


24 cm^{2} ÷ (4 cm) =


= 6 cm



Summary: 
Given the base and height of a parallelogram, we can find the area. Given the area
of a parallelogram and either the base or the height, we can find the missing dimension.
The formula for area of a parallelogram is:



where
is the base,
is the height, and · means multiply.
