This type of problem involves relationships among the lengths of the sides and

height as well as the

area and

perimeter 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 and

height do determine the area, there are infinitely many parallelograms with the same

base and height, but different perimeters.