This type of problem involves relationships among the lengths of the sides and height
as well as the area
of a parallelogram. We need to focus on two formulas: (1) area
which requires a measurement of the base
and height, which we call h
and (2) the perimeter
which is the sum of all four sides. Sometimes it is useful to remember that the opposite sides of a parallelogram
are always equal. Sometimes an angle
of the parallelogram
is also given so that we can use one of the basic trigonometric ratios of sine, cosine, or tangent to calculate the length
of the height.
Sometimes there is not enough information given to find the perimeter. While the base
do determine the area, there are infinitely many parallelograms with the same base
and height, but different perimeters.