Parallelogram

This is a quadrilateral with both pairs of opposite sides parallel and congruent, and whose location on the coordinate plane is determined by the coordinates of the four vertices (corners).

Diagram:

Perimeter of parallelogram,

Finding the perimeter is to add all sides of the parallelogram, example from the above diagram the perimeter is AB + BD + CD + AC.

Example 1:

Find the perimeter of the following quadrilaterals.

Solution:

As we learnt from the beginning of this quadrilateral, one of its properties is that its opposite sides are congruent i.e from the above AB is congruent to CD and if AB is 5cm then CD will also be 5cm and the same as AC and BD.

Finding perimeter is to add all sides of the parallelogram

Therefore, perimeter = AB + BD + CD + AC = 5cm + 4cm + 5cm + 4cm = 18cm ans

Areas of Parallelogram

The formula for finding the area is length x height (l x h)

If the parallelogram has length of 10m and height 6m then the area equals to 10 times 6 = 60m²

Therefore the area = 60m²

Note: it is necessary to add "²” symbol infront of the measurement to indicate that is the area. So it would be wrong if we would have written 60m instead of  60m^2.

Example:

Find the area of the parallelogram below.

Solution:

Area = length x height (l x h)

Therefore, area = 15cm x 10 cm = 150cm² ans