Do you have a scalene trapezoid whose perimeter you need to find? No worries, we’ve got you covered! In this step-by-step guide, we will walk you through the process of determining the perimeter of a scalene trapezoid.

What is a Scalene Trapezoid?

A scalene trapezoid is a quadrilateral with only one pair of parallel sides. Unlike a regular trapezoid, a scalene trapezoid does not have equal side lengths or equal angles on its non-parallel sides. Therefore, its perimeter cannot be found simply by adding the lengths of all its sides.

How to Calculate the Perimeter of a Scalene Trapezoid?

To find the perimeter of a scalene trapezoid, follow these five simple steps:

  • Step 1: Identify the sides of the trapezoid: Label the two parallel sides as ‘a’ and ‘b’, and the two non-parallel sides as ‘c’ and ‘d’.
  • Step 2: Calculate the sum of the lengths of the parallel sides: Add the lengths of sides ‘a’ and ‘b’ together.
  • Step 3: Calculate the sum of the lengths of the non-parallel sides: Add the lengths of sides ‘c’ and ‘d’ together.
  • Step 4: Add the sums from steps 2 and 3: Add the sums calculated in steps 2 and 3 together.
  • Step 5: The sum obtained in step 4 is the perimeter of the scalene trapezoid.

Example Calculation:

Let’s consider a scalene trapezoid with the following side lengths:

  • Side a = 6cm
  • Side b = 10cm
  • Side c = 8cm
  • Side d = 5cm

Using the steps mentioned above:

  • Step 1: The parallel sides are a = 6cm and b = 10cm. The non-parallel sides are c = 8cm and d = 5cm.
  • Step 2: The sum of the lengths of the parallel sides is 6cm + 10cm = 16cm.
  • Step 3: The sum of the lengths of the non-parallel sides is 8cm + 5cm = 13cm.
  • Step 4: Adding the sums from steps 2 and 3, we get 16cm + 13cm = 29cm.
  • Step 5: Therefore, the perimeter of the scalene trapezoid is 29cm.

In Conclusion

Calculating the perimeter of a scalene trapezoid may seem daunting at first, but by following the step-by-step guide mentioned above, you can easily determine the perimeter of any scalene trapezoid. Just remember to correctly label the sides, calculate their sums, and add them together.

Now that you have a clear understanding of how to find the perimeter of a scalene trapezoid, you can confidently solve any similar problems that come your way. Good luck!

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