Trapezoid Perimeter Calculator

Formula

The formula to calculate the perimeter of a trapezoid is:

\[ P = a + b + c + d \]

Where:

\( P \) is the perimeter of the trapezoid
\( a \) is the length of the first parallel side
\( b \) is the length of the second parallel side
\( c \) is the length of the first non-parallel side
\( d \) is the length of the second non-parallel side

What is the Perimeter of a Trapezoid?

The perimeter of a trapezoid is the sum of the lengths of all its four sides. A trapezoid is a four-sided polygon with one pair of parallel sides known as the bases and two non-parallel sides known as the legs. To calculate the perimeter of a trapezoid, you simply add the lengths of these four sides together. This is true regardless of whether the trapezoid is right-angled, isosceles, or scalene. The formula for the perimeter of a trapezoid is \( P = a + b + c + d \), where \( a \) and \( b \) are the lengths of the bases, and \( c \) and \( d \) are the lengths of the legs.

Example Calculation

Let's assume the following values:

Length of the First Parallel Side (a): 5 units
Length of the Second Parallel Side (b): 7 units
Length of the First Non-Parallel Side (c): 4 units
Length of the Second Non-Parallel Side (d): 6 units

Step 1: Calculate the Perimeter:

\[ P = 5 + 7 + 4 + 6 = 22 \text{ units} \]

Therefore, the perimeter of the trapezoid is 22 units.