Height of a Parallelogram Formula
Height of a parallelogram formula is helpful in calculating height of a parallelogram. The height of a parallelogram is the perpendicular distance between the base side and the parallel side opposite to it.
A parallelogram can be defined as a quadrilateral in which opposite sides are parallel and the length of these opposite sides is also equal. Its opposite angles are also equal.
What is the Height of a Parallelogram Formula?
Height of a parallelogram is calculated using the formula Area is equal to Base multiplied by Height, so if the area of a parallelogram is known its height is calculated by dividing the Area by its Base.
Height of a Parallelogram Formula
The height of a parallelogram formula is derived from the area formula, area of a Parallelogram can be found using the base length and height of the parallelogram.
Area = Base × Height
Height = Area/Base
Perimeter of a parallelogram
Perimeter is defined as the sum of all sides using which a closed figure is been constructed. In the case of a parallelogram, it has 4 sides out of which opposite sides are equal so the perimeter is the sum of all four sides.
Let’s take the measure of opposite sides as X and Y hence
Perimeter of Parallelogram = X + Y + X + Y = 2X + 2Y = 2(X + Y)
Perimeter = 2(X + Y)
Solved Example on Height of Parallelogram
Example 1: Find the height of a parallelogram if its area is 625 cm2 and the length of the base is 25 cm.
Solution:
The height of a parallelogram can be calculated using the height of a parallelogram formula
Height = Area /Base
Height = 625/25
Height = 25 cm.
Hence the height of the parallelogram is 25 cm
Example 2: Find the area of a parallelogram whose base is 20 cm and height is 15 cm.
Solution:
Area of parallelogram = Base × Height
Base and height are given as 20 cm and 15 cm respectively.
Area = 20 × 15
Area = 300 cm.
Example 3: Perimeter of a parallelogram is 226 cm and one side of the parallelogram is of length 12 cm, find the measure of the other side.
Solution:
Perimeter of Parallelogram = 2(X + Y)
Where X is length of one side and Y is length of other side, so let X = 12 cm
226 = 2(X + Y)
2(X + Y) = 226
2(12 + Y) = 226
24 + 2Y =226
2Y = 226 – 24
2Y = 202
Y = 202/2
Y = 101 cm.
Example 4: Find the height of a parallelogram if its area is 800 cm2 and the length of the base is 40 cm.
Solution
The height of a parallelogram can be calculated using the height of a parallelogram formula
Height = Area /Base
Height = 800/40
Height = 20 cm.
Hence the height of the parallelogram is 20 cm
Example 5: Perimeter of a parallelogram is 400 cm and one side of the parallelogram is of length 80 cm, find the measure of another side.
Solution:
Perimeter of Parallelogram = 2(X + Y)
Where X is length of one side and Y is length of other side, so let X = 80 cm
400 = 2(X + Y)
2(X + Y) = 400
2(80 + Y) = 400
160 + 2Y =400
2Y = 400 – 160
2Y = 240
Y = 120 cm.
FAQs on Height of Parallelogram
Question 1: What is the base and height of a parallelogram?
Answer:
“Base” refers to the length of a side and “Height” is the length of a perpendicular between two parallel lines.
Question 2: What is Height of a Parallelogram?
Answer:
Height of a parallelogram is referred to as the perpendicular distance between two parallel lines of a parallelogram.
Question 3: What is area of a parallelogram?
Answer:
Area of parallelogram is referred as the space inside the boundary of a parallelogram.
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