Suppose, this angle is given by x, then the area of the parallelogram is given by: There are two diagonals for a parallelogram, intersecting each other at certain angles. The area of any given parallelogram can also be calculated using the length of its diagonals. Note: If the angle between the sides of a parallelogram is 90 degrees, then the parallelogram becomes a rectangle. If the length of the two adjacent sides is 4 units and 6 units respectively, then find the area. a and b = length of adjacent sides, and,Įxample: The angle between any two sides of a parallelogram is 90 degrees.We can simply use the area of the triangle formula from the trigonometry concept for this case. The area of a parallelogram can also be calculated without the height if the length of adjacent sides and the angle between them are known to us. ![]() Solution: Given, length of base = 10 cm and height = 8 cmĪs per the formula, Area = 10 × 8 = 80 cm 2 Parallelogram Area Using Lengths of Sides Suppose 'a' and 'b' are the set of parallel sides of a parallelogram and 'h' is the height (which is the perpendicular distance between 'a' and 'b'), then the area of a parallelogram is given by:Įxample: If the base of a parallelogram is equal to 10 cm and the height is 8 cm, then find its area.
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