Area and Perimeter of Parallelogram
We can find the relation between the area and perimeter of a parallelogram because both the formulas contain sides of the parallelogram, the formula for the area of parallelogram and perimeter of a parallelogram is:
Area of parallelogram = A = b × h square units ⇢ (1)
Perimeter of a parallelogram = P = 2a + 2b units ⇢ (2)
Finding the value of b from equation (2)
P/2 = a + b
b = P/2 – a
Substituting the value of “b” obtained in equation (1)
A = (P/2 – a) h square units
Perimeter of a Parallelogram
The perimeter of a parallelogram is the sum of the length of its boundaries/sides. A parallelogram is a type of quadrilateral with four equal sides with opposite sides equal. Its sides do not intersect each other. There are two diagonals of a parallelogram that intersect each other at the center. A diagonal divides the parallelogram into two equal parts or triangles. Following are the properties of parallelogram:
- A parallelogram has four sides.
- Opposite sides of parallelograms are equal and parallel.
- Opposite angles of parallelograms are equal.
- Diagonals of parallelograms intersect each other.