Home / United States / Math Classes / Calculators / Area of a Parallelogram Calculator

The area of a parallelogram calculator is a free online tool that helps us calculate the area of a parallelogram, as well as its base length and height. Let us familiarize ourselves with the calculator....Read MoreRead Less

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.

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.

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, \(b=\frac{A}{h}\)

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. **

**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.

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.

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.