Online Area of a Parallelogram Calculator
How to Use the ‘Area of a Parallelogram Calculator’?
Follow these steps to use the ‘Area of a parallelogram calculator’:
Step 1: Enter the two known measures (out of base length, height and area) into the respective input boxes and the unknown measure will be calculated.
Step 2: Select the appropriate units for the inputs and output.
Step 3: Click on the ‘Solve’ button to obtain the result.
Step 4: Click on the ‘Show steps’ button to know the stepwise solution to find the missing measure.
Step 5: Click on the 
button to enter new inputs and start again.
Step 6: Click on the ‘Example’ button to play with different random input values.
Step 7: When you click on the ‘Explore’ button, you can visualize the parallelogram by changing its dimensions and also how the area of a parallelogram relates to the area of a rectangle.
Step 8: When on the ‘Explore’ page, click the ‘Calculate’ button if you want to go back to the calculator.
What is the Area of a Parallelogram?
The amount of region occupied within the four sides of a parallelogram is known as the area of a parallelogram. The area of a parallelogram is equal to the product of its base length and height.
Formulas used in the ‘Area of parallelogram calculator’:
When the base length b and height h of the parallelogram are known, the area of a parallelogram A is calculated as:
Area of parallelogram, A = b \(\times\) h
When the base length b and the area of a parallelogram A are known, the height h of the parallelogram is calculated as:
Height of parallelogram, \(h=\frac{A}{b}\)
When the height h and the area of a parallelogram A are known, the base length b of the parallelogram is calculated as:
Base length of parallelogram, \(b=\frac{A}{h}\)
Relation between the area of a parallelogram and the area of a rectangle
Consider a rectangle of base length b and height h,
The area of the rectangle, A = b \(\times\) h
Now consider a parallelogram of base length b and height h. As we can see in the figure below, the parallelogram can be split into two right triangles of base length x and height h and a rectangle of base length y and height h.
Therefore, the area of this parallelogram can be written as:
Area of parallelogram = Area of two right triangles + Area of the rectangle
= \(2 \times \frac{1}{2}\times x \times h+y \times h\)
= (x + y) h
= \(b \times h\)
Hence, we can say that a rectangle and parallelogram having the same base length and height will have the same area.
Solved Examples on Area of a Parallelogram Calculator
Example 1: Find the area of a parallelogram having a base length of 5 inches and a height of 6 inches.
Solution:
Area of parallelogram, A = b \(\times\) h
= 5 \(\times\) 6
= 30 square inches
So, the area of the parallelogram is 30 square inches.
Example 2: Find the height of a parallelogram whose base length is 50 meters and area is 257 square meters.
Solution:
Height of parallelogram, h = \(\frac{A}{b}\)
= \(\frac{257}{50}\)
= 5.14 meters
So, the height of the parallelogram is 5.14 meters.
Example 3: Find the base length of a parallelogram having a height of 7 centimeters and an area of 76 square centimeters.
Solution:
Base length of parallelogram, b = \(\frac{A}{h}\)
= \(\frac{76}{7}\)
= 10.857 centimeters
So, the base length of the parallelogram is 10.857 centimeters.
A quadrilateral that has opposite sides of equal lengths and are parallel to each other, and whose diagonals bisect each other is known as a parallelogram
Yes, a square is a parallelogram because it fulfills the conditions of a parallelogram, that is, a square has opposite sides which are equal in length and are also parallel to each other, and its diagonals bisect each other
The perimeter of a parallelogram is the sum of the lengths of all its sides.
Therefore, the formula for finding the perimeter of a parallelogram is:
Perimeter, P = 2(a + b) units where, ‘a’ and ‘b’ are the lengths of the adjacent sides of the parallelogram.