Calculate Trapezoid Perimeter: Finding the Sum of 2.5, 10.4, 5.3, and 6 Units

Question

Look at the trapezoid in the figure.

Calculate its perimeter.

2.52.52.510.410.410.45.35.35.3666

Video Solution

Solution Steps

00:00 Calculate the perimeter of the trapezoid
00:03 The perimeter of the trapezoid equals the sum of its sides
00:21 Let's substitute appropriate values and solve to find the perimeter
00:45 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify all given side lengths of the trapezoid.
  • Step 2: Apply the formula for the perimeter of the trapezoid.
  • Step 3: Sum up the lengths to find the perimeter.

Now, let's work through each step:
Step 1: The problem gives us the lengths of the trapezoid's sides:
- AB=2.5 AB = 2.5
- BC=10.4 BC = 10.4
- CD=5.3 CD = 5.3
- DA=6 DA = 6

Step 2: We use the formula for the perimeter of a trapezoid:

P=AB+BC+CD+DA P = AB + BC + CD + DA

Step 3: Plugging in the given values, we calculate:

P=2.5+10.4+5.3+6 P = 2.5 + 10.4 + 5.3 + 6

Calculating further, we have:

P=24.2 P = 24.2

Therefore, the perimeter of the trapezoid is 24.2 24.2 .

Answer

24.2