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Parallelogram Calculator is a free online tool that displays the area, perimeter, and diagonal measures of a parallelogram. BYJU’S online parallelogram calculator tool makes the calculation faster and it displays the area and perimeter of a parallelogram in a fraction of seconds. How to Use the Parallelogram Calculator?The procedure to use the parallelogram calculator is as follows: Step 1: Enter the base values, height and angle measurements in the input field Step 2: Now click the button “Calculate” to get the parallelogram area and perimeter Step 3: Finally, the area and perimeter of a parallelogram will be displayed in the output field What is Meant by Parallelogram?In mathematics, a parallelogram is a special type of quadrilateral. A parallelogram has four sides with equal and parallel opposite sides. It means that the opposite side of the parallelogram are parallel to each other and are of equal measurements. The parallelogram diagonal bisects each other and the adjacent angles add up to 180 degrees. The area and the perimeter of a parallelogram are given by the formula, Area of Parallelogram, A = Base × Height Square units Perimeter of parallelogram, P = 2(a+b) units Where “a” and “b” are the sides of a parallelogram 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 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 the sides of a parallelogram?You can find the perimeter by adding all of its respective sides as such: \displaystyle (12 + x) + (12 + x) + (7 + y) + (7 + y). If you chose \displaystyle xy + 7x + 12y +84, you multiplied the two sides to find the area. If you chose \displaystyle x + y + 19, you only added two sides.
What is the length of a parallelogram?The perimeter of a parallelogram is 2(a + b) where a and b are the lengths of adjacent sides. Unlike any other convex polygon, a parallelogram cannot be inscribed in any triangle with less than twice its area.
How do you measure a parallelogram?To find the area of the parallelogram, multiply the base of the perpendicular by its height. It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.
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