Calculate the Perimeter of an Isosceles Trapezoid with Sides 3, 5, and 7

Question

The drawing shows an isosceles trapezoid.

What is its perimeter?

333555777

Video Solution

Solution Steps

00:00 Calculate the perimeter of the trapezoid
00:05 The perimeter of the trapezoid equals the sum of its sides
00:25 Equal sides in an isosceles trapezoid
00:35 Let's substitute appropriate values and solve for the perimeter
00:58 And this is the solution to the problem

Step-by-Step Solution

To find the perimeter of the isosceles trapezoid, consider the following steps:

  • Step 1: Identify the given side lengths: The top base of the trapezoid is 33, each of the slanted sides is 55, and the bottom base is 77.
  • Step 2: Apply the perimeter formula: The perimeter PP is the sum of all side lengths: P=3+5+5+7P = 3 + 5 + 5 + 7.
  • Step 3: Perform the calculation: Add the side lengths together:
    3+5+5+7=20 3 + 5 + 5 + 7 = 20

Therefore, the perimeter of the isosceles trapezoid is 2020.

Answer

20