Height of a Parallelogram – Formula and Solved Examples

Height of a Parallelogram formula is to calculate the 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.

The opposite angles of Parallelogram are also equal. Let’s know more about Height of a Parallelogram Formula with derivation in detail below.

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.

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)

Related Resources

• Parallel lines
• Area of rectangle
• Perimeter of rectangle

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.

What is the formula for height of Parallelogram?

The formula for height of Parallelogram is area(a)/base(b).

What is the base and height of a Parallelogram?

“Base” refers to the length of a side and “Height” is the length of a perpendicular between two parallel lines.

What is Height of a Parallelogram?

Height of a Parallelogram is referred to as the perpendicular distance between two parallel lines of a Parallelogram.

What is area of a Parallelogram?

Area of Parallelogram is referred as the space inside the boundary of a Parallelogram.