mathpi.net

Formula - Area of Parallelogram

In this class, you will learn the formula for Area of Parallelogram, a detailed description about the inputs in the formula, and how to use this formula to find the Area of Parallelogram for different sets of inputs.

Area of Parallelogram

The formula for Area of Parallelogram \(( A )\) using length of base \((b)\), and height \((h)\) is:

\( A = \) \( b \times h \)

where

  • ' \( b \) ' is the length of base of the parallelogram.
  • ' \( h \) ' is the height of the parallelogram.
Area of Parallelogram

Calculator

The following link takes you to Area of Parallelogram Calculator, where you can give the input values, and the calculator uses the formula to calculate the area

Area of Parallelogram Calculator

Examples

We will go through some examples, of how to use the formula to find the Area of Parallelogram when length of base \((b)\), and height \((h)\) are given.


1 Find Area of Parallelogram whose length of base is 20 units, and height is 10 units.

Solution

Given:

\( ~ length~ ~ of~ ~ base~ ,~ b = 20~ units \)

\( ~ height~ ,~ h = 10~ units \)

We have to find the Area of Parallelogram using given length of base, and height.

Formula:

We know that the formula to find the Area of Parallelogram is

\( ~ Area~ ,~ A = \) \( b \times h \)

Substitution:

Substitute the given values in the above formula.

\( A = \) \( b \times h \)

\( A = \) \( 20 \times 10 \)

\( A = 200 \) square units

Result:

\( A = 200 \) square units



2 Find Area of Parallelogram whose length of base is 7 units, and height is 4 units.

Solution

Given:

\( ~ length~ ~ of~ ~ base~ ,~ b = 7~ units \)

\( ~ height~ ,~ h = 4~ units \)

We have to find the Area of Parallelogram using given length of base, and height.

Formula:

We know that the formula to find the Area of Parallelogram is

\( ~ Area~ ,~ A = \) \( b \times h \)

Substitution:

Substitute the given values in the above formula.

\( A = \) \( b \times h \)

\( A = \) \( 7 \times 4 \)

\( A = 28 \) square units

Result:

\( A = 28 \) square units



3 Find Area of Parallelogram whose length of base is 3.8 units, and height is 1.5 units.

Solution

Given:

\( ~ length~ ~ of~ ~ base~ ,~ b = 3.8~ units \)

\( ~ height~ ,~ h = 1.5~ units \)

We have to find the Area of Parallelogram using given length of base, and height.

Formula:

We know that the formula to find the Area of Parallelogram is

\( ~ Area~ ,~ A = \) \( b \times h \)

Substitution:

Substitute the given values in the above formula.

\( A = \) \( b \times h \)

\( A = \) \( 3.8 \times 1.5 \)

\( A = 5.7 \) square units

Result:

\( A = 5.7 \) square units




Practice Problems for Area of Parallelogram

1 Find Area of Parallelogram whose length of base is 5 units, and height is 5 units.

Not answered
Explanation

Answer is 25.

The formula to find the Area of Parallelogram is:

\(A = \) \( b \times h \)

Substitute given \(b=5\), and \(h=5\)

\(A = \) \( 5 \times 5 \)

\(A = \) 25

2 Find Area of Parallelogram whose length of base is 10 units, and height is 10 units.

Not answered
Explanation

Answer is 100.

The formula to find the Area of Parallelogram is:

\(A = \) \( b \times h \)

Substitute given \(b=10\), and \(h=10\)

\(A = \) \( 10 \times 10 \)

\(A = \) 100

3 Find Area of Parallelogram whose length of base is 0 units, and height is 0 units.

Not answered
Explanation

Answer is 0.

The formula to find the Area of Parallelogram is:

\(A = \) \( b \times h \)

Substitute given \(b=0\), and \(h=0\)

\(A = \) \( 0 \times 0 \)

\(A = \) 0

4 Find Area of Parallelogram whose length of base is 0.1 units, and height is 0.2 units.

Not answered
Explanation

Answer is 0.02.

The formula to find the Area of Parallelogram is:

\(A = \) \( b \times h \)

Substitute given \(b=0.1\), and \(h=0.2\)

\(A = \) \( 0.1 \times 0.2 \)

\(A = \) 0.02

5 Find Area of Parallelogram whose length of base is 100 units, and height is 50 units.

Not answered
Explanation

Answer is 5000.

The formula to find the Area of Parallelogram is:

\(A = \) \( b \times h \)

Substitute given \(b=100\), and \(h=50\)

\(A = \) \( 100 \times 50 \)

\(A = \) 5000