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Learn what is the Area of a Parallelogram and how to find it with formulas with and without height and using diagonals and sides, & also find it in vector form
Area of Parallelogram is the region covered by the parallelogram in a 2D space. Learn to calculate the area of a parallelogram using formula without height, using sides and diagonals with solved problems.
Parallelogram area calculator determines the area for an arbitrary parallelogram using three parallelogram area formulas.
The area of a parallelogram can be calculated when the adjacent sides or diagonals are given in vector form. The formula to find area using vector adjacent sides is given as, | a × b |, where a and b are adjacent side vectors.
Area = 1 2 × d 1 × d 2 × s i n (y) where: d1 and d2 are the lengths of the diagonals of the parallelogram. x or y is the angle of intersection between the diagonals. Example: In a parallelogram, the lengths of the diagonals are 6 units and 8 units, and the angle between the diagonals is 90 degrees.
Understand how to find the area of a parallelogram and why it works. Intuition for why the area of a parallelogram is A = b h The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.
Area formula using the sides and angle. If the side lengths and an angle of a parallelogram are given, the area is: A=a·b·sin (θ) where a and b are the lengths of the adjacent sides and θ is one of the angles. The area of a triangle with angle θ between sides a and b is .