The perimeter of a parallelogram whose base is 'a', height is 'h', and one of the vertex angles is 'θ' is 2a + 2h / sin θ.The perimeter of a parallelogram whose one of the sides is 'a' and whose diagonals are 'x' and 'y' is 2a + √(2x 2 + 2y 2 - 4a 2).The perimeter of a parallelogram whose adjacent sides are 'a' and 'b' is 2a + 2b.We have different formulas to find the perimeter of a parallelogram depending on the available information. What Is the Formula To Find the Perimeter of Parallelogram? Thus, the perimeter of a parallelogram of sides 'a' and 'b' is a + a + b + b (or) 2a + 2b units.This is the most commonly used formula to find the perimeter of the parallelogram. The perimeter of a parallelogram is the sum of all its sides. P = 2a + 2h / sinθ, where a is the side of the parallelogram, h is the height and θ is the angle of the parallelogram.įAQs on Perimeter of Parallelogram What Is the Perimeter of Parallelogram?.P = 2a + √(2x 2 + 2y 2 - 4a 2), where a is the a side of the parallelogram, and x, y are its diagonals.P = 2 (a + b), where a, b are the adjacent sides of a parallelogram.We have three formulas to find the perimeter of a parallelogram with sides a, b diagonals x, y, and angle θ.The perimeter of a parallelogram is equal to the sum of all its four sides.Important Notes on Perimeter of Parallelogram = 25.49 units (rounded to two decimal places) Substituting these values into the formula, we have Solution: Using the formula when a side and diagonals of a parallelogram are given, we P = 2a + √(2x 2 + 2y 2 - 4a 2). Then its perimeter (P) is,Įxample 2: Find the perimeter of a parallelogram when one of its sides is 7 units and diagonals are 8 units and 10 units. Solution: The adjacent sides of the given parallelogram are, a = 5 units and b = 9 units.
#Picture of parallelogram how to#
We will go through some of the solved examples to understand how to find the perimeter using the formulas discussed the sections above.Įxample 1: Find the perimeter of a parallelogram whose adjacent sides are 5 units and 9 units. Let us see the applications of the perimeter of parallelogram formulas in this section. Now we know the sides of the parallelogram ('a' and 'b') and hence we can use the formula from the previous section to find its perimeter (P). Now, we will solve it for 'b' as we are not given the length of 'b'. We have got the relation between the sides and diagonals of the parallelogram. X 2 + y 2 = 2a 2 + 2b 2 - 2ab ( - cos ∠ADC + cos ∠ADC) We know that any two adjacent angles of a parallelogram (it is a property of parallelograms) are supplementary.
Assume that the values of the side 'a', and the diagonals 'x' and 'y' are given but the value of 'b' is not given and we are asked to find the perimeter of the parallelogram.Īpplying the law of cosines for the triangle ABD,Īpplying the cosine rule for the triangle ADC, Let us consider a parallelogram with sides 'a' and 'b' and diagonals 'x' and 'y'. Perimeter of Parallelogram Base,Height,and Angle Perimeter of Parallelogram Formula With One Side and Diagonals Perimeter of Parallelogram Formula With Sides We will explore the concept with the help of a few solved examples for a better understanding of the concept. We shall also understand the applications of the perimeter of parallelogram formulas. In this article, we will learn how to find the perimeter of a parallelogram using some formulas. Every two adjacent angles are supplementary.In simple words, we can say that the perimeter of a parallelogram is equal to the sum of all its four sides.
Here are some properties of a parallelogram. Some examples of a parallelogram are rhombus, rectangle, and square. A quadrilateral is called a parallelogram if its opposite sides are parallel and are of equal length. A quadrilateral is a closed shape made up of four line segments. Its unit is the same as that of its sides. The perimeter of a parallelogram is the length of the continuous line formed by its boundary.
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