Calculate the Perimeter of an Isosceles Trapezoid with Sides 10, 12, and 6

Question

Below is an isosceles trapezoid:

101010121212666 What is its perimeter?

Video Solution

Solution Steps

00:11 Let's calculate the perimeter of the trapezoid together.
00:15 We'll use the side lengths provided in the problem.
00:19 Remember, in an isosceles trapezoid, two sides are equal.
00:28 The perimeter is the total length of all the sides added together.
00:41 Let's plug in the values and find the perimeter step by step.
00:52 And that's how we solve this problem!

Step-by-Step Solution

To calculate the perimeter of the isosceles trapezoid, we follow these steps:

  • Identify the lengths of all the sides.
  • Sum these lengths to find the perimeter.

Now, let's apply these steps:
Step 1: The given lengths of the trapezoid are:
- Base 1 = 1010,
- Base 2 = 1212,
- Each leg = 66.

Step 2: Using the perimeter formula P=a+b+c+d P = a + b + c + d , we get:
P=10+12+6+6 P = 10 + 12 + 6 + 6 .

Step 3: Adding these values, we find:
P=34 P = 34 .

Therefore, the perimeter of the isosceles trapezoid is 34 34 .

Answer

34