Geometry

Related Content

Thank you!


On behalf of our dedicated team, we thank you for your continued support. It's fulfilling to see so many people using Voovers to find solutions to their problems. Thanks again and we look forward to continue helping you along your journey!




Nikkolas and Alex
Founders and Owners of Voovers

Perimeter of a Trapezoid

The Perimeter Formula

A trapezoid is a quadrilateral with only one pair of parallel sides.
The formula for perimeter is given as:
P = a + b + c + d
Where P is the perimeter, and ad are the side lengths.

perimeter of a trapezoid

Example Problems

Problem 1:
Find the perimeter of a trapezoid with legs lengths of 10 and 12, and base lengths of 6 and 8.

Solution:
All we need to do is add the 4 sides together, just as the formula says.
P = a + b + c + d
P = 6 + 8 + 10 + 12 = 36
The perimeter of the trapezoid is 36.

Problem 2:
A trapezoidal floor plan’s perimeter is measured to be 12 meters. The bases are measured as 3 and 4 meters, and the leg sides (labeled c and d in the image above) are equal in length. What is the length of the legs?

Solution:
Since the legs are equal in length, c = d. We can replace c + d in the perimeter formula with 2c.
Plugging what we know into the formula, we get:
P = a + b + c + d
12 = 3 + 4 + 2c
5 = 2c
c = 2.5, d = 2.5
The length of each leg side is 2.5 meters.

Scroll to Top