Perimeter of a trapezoid
The perimeter of a trapezoid where a, b, c, d are the lengths of each side is
P = a + b + c + d
Example #1: Find the perimeter for the trapezoid below
Perimeter = 5 + 6 + 7 + 10 = 11 + 17 = 28
Now, let us make things a little bit more interesting. How about the figure below? Can you find the perimeter for this right trapezoid?
This example is a little tricky! Although 4 sides are given, one of them cannot be used to find the perimeter of the trapezoid. Can you tell which one? Yes, you guessed it right! The side that you cannot use is AC = 10.
The sides that you can use are AB, AD, BC, and CD. However, we have another problem. BC is missing. We need to find BC.
BC is one side of the right triangle ABC. Therefore, we can use the Pythagorean theorem to find BC.
AC2 = AB2 + BC2
102 = 82 + BC2
100 = 64 + BC2
100 - 64 = BC2
36 = BC2
Since 62 = 36, BC = 6
Perimeter = AB + BC + CD + AD = 8 + 6 + 10 + 12 = 14 + 22 = 36
Recent Articles
-
Overtime Calculator - How much for Time and a Half or Double rate ?
Jan 18, 19 10:53 AM
This overtime calculator will help you figure out how much money earned for working overtime
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Recent Articles
-
Overtime Calculator - How much for Time and a Half or Double rate ?
Jan 18, 19 10:53 AM
This overtime calculator will help you figure out how much money earned for working overtime
-
Convert Square Feet to Acres Calculator
Jan 14, 19 09:22 AM
Convert square feet to acres and acres to square feet with this conversion calculator
-
Convert Kilograms to Tons calculator
Jan 13, 19 03:47 PM
Convert kilograms to tons and tons to kilograms with this conversion calculator
-
How to Convert Square Feet to Acres
Dec 14, 18 04:05 PM
Here is how to convert square feet to acres - To convert square feet to ...
-
Modeling Multiplication
Nov 15, 18 05:01 PM
Modeling multiplication with number counters - Learning multiplication is fun!
-
Properties of Congruence
Nov 09, 18 09:40 AM
Learn the three properties of congruence. Examples to illustrate which property.
-
Compound Interest Word Problems and Solutions
Nov 07, 18 02:38 PM
Practice with these well chosen compound interest word problems
Recent Lessons
-
Overtime Calculator - How much for Time and a Half or Double rate ?
Jan 18, 19 10:53 AM
This overtime calculator will help you figure out how much money earned for working overtime
Our Top Pages
Formula for percentage
Compatible numbers
Basic math test
Basic math formulas
Types of angles
Math problem solver
Algebra word problems
Surface area of a cube
Finding the average
Scale drawings
Tough Algebra Word Problems.
If you can solve these problems with no help, you must be a genius!
Everything you need to prepare for an important exam!
K-12 tests, GED math test, basic math tests, geometry tests, algebra tests.
Real Life Math Skills
Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.
