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Online Area of a Parallelogram CalculatorHow 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 rectangleConsider 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 CalculatorExample 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. Frequently Asked Questions on Area of Parallelogram Calculator 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.
Perimeter, P = 2(a + b) units where, ‘a’ and ‘b’ are the lengths of the adjacent sides of the parallelogram. Check out our other coursesHow do you find an area of a parallelogram?The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.
How do you find the area of a parallelogram without the height calculator?The area of a parallelogram can be determined from its diagonals, provided that you also know the angle between the diagonals. If e and f are the lengths of the diagonals and φ is the angle between them, then the area can be calculated as follows: area = ½ × e × f × sin(φ) .
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