What is a Parallelogram
What is a Parallelogram
What is a Paral elogram? Let's discuss an important math topic i.e. Paral elogram is a convex
quadrilateral having two pairs of paral el sides.
In the parallelogram, the opposite side or facing side length are equal. And opposite side
angle of a Parallelogram are of equal length. It is having two pairs of a paral el side in a
geometric figure. It is special type of a quadrilateral. Opposite sides and opposite angles are
in equal length.
I can break the paral elogram into three different sections: two right triangles and one big
rectangle. Two right angle triangles are situated at the ends of the paral elogram when you
break the paral elogram up; the two sections are slanted.
From the end of the paral elogram you would drop a line down on the point. Using formula A =
(length * width) for rectangle and A = 1/2 (breadth * height) for each of the right triangles.
Example: - let the length of a rectangle is 20 and width of a rectangle is 30. Find the area of a
rectangle.
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Solution: - we know that the area of a rectangle is:
A = (length * width)
Given, length = 20;
Width = 30; then the area of rectangle is
A = 20 * 30
A = 600
Example: - let the breadth of a right triangle is 15 and height of a right angle triangle is 25.
Find the area of a right angle triangle.
Solution: - we know that the area of a right angle triangle is:
A = 1/2 (breadth * height)
Given, breadth = 15;
Height = 25; then the area of a right angle triangle is
A = 1/2 (15 * 25)
A = 1/2 (375)
A = 187.5
Example: - if two streets intersected with each other, and you wanted to make a building at the
corner whose sides are paral el t the streets, then we can say that it is a paral elogram. Some
properties of Paral elogram are:
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We wil never intersect a paral elogram because Opposite sides of a Parallelogram are
paral el. And area of a Paral elogram is twice the area of a triangle. It is created by one of its
diagonals.
And the area of a parallelogram is also equal to the magnitude of the vector cross product of
two adjacent sides. Any line which passes through the midpoint of a paral elogram bisects the
area of a paral elogram. Any non-degenerate transform takes a paral elogram to a
paral elogram.
It has a rotational symmetry of order 2. It must be rhombus. 2(P + Q) is the perimeter of a
paral elogram where P and Q are the length of the adjacent sides.
In the interior of a quadrilateral, if the sum of the distances from a point independent of the
location of the point, then we can say that the quadrilateral is a parallelogram.
The area of a paral elogram, the area of a rectangle is equals the product of its sides. And the
area of a paral elogram is equal to the product of one of its side and distance between the
sides and its paral el mate.
And the diagonal of a paral elogram bisects each other. This is all the about the paral elogram,
and its properties and also area of a paral elogram.


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