Trapezoid Perimeter Problem: Finding Missing Side CD When Total is 22 cm

The perimeter of the trapezoid equals 22 cm.

AB = 7 cm

AC = 3 cm

BD = 3 cm

What is the length of side CD?

AAABBBDDDCCC733

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find CD
00:03 The perimeter of a trapezoid equals the sum of its sides
00:10 We'll substitute appropriate values and solve for CD
00:31 Let's group terms
00:36 Let's isolate CD
00:46 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The perimeter of the trapezoid equals 22 cm.

AB = 7 cm

AC = 3 cm

BD = 3 cm

What is the length of side CD?

AAABBBDDDCCC733

2

Step-by-step solution

Since we are given the perimeter of the trapezoid and not the length of CD, we can calculate:

22=3+3+7+CD 22=3+3+7+CD

22=CD+13 22=CD+13

22−13=CD 22-13=CD

9=CD 9=CD

3

Final Answer

9

Practice Quiz

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True OR False:

In all isosceles trapezoids the base Angles are equal.

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Isosceles Trapezoids

Calculate Isosceles Trapezoid Area: Given h=5cm, P=34cm, and BC=7cm
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