Compare Two Trapezoids: Analyzing Measurements x+5, 17, and Variable y

What can be said about the two trapezoids in the diagram?

x+517y10x12

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 What can be said about the trapezoids?
00:03 The perimeter of a trapezoid equals the sum of its sides
00:07 Let's calculate the perimeter of trapezoid 1
00:11 This is the perimeter of trapezoid 1
00:14 Let's use the same method to calculate the perimeter of trapezoid 2
00:34 Let's simplify what we can
00:37 And we'll see that the perimeter of trapezoid 2 equals the perimeter of trapezoid 1
00:42 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

What can be said about the two trapezoids in the diagram?

x+517y10x12

2

Step-by-step solution

We calculate the perimeter of the left trapezoid:

P=10+12+x+y P=10+12+x+y

P=22+x+y P=22+x+y

We calculate the perimeterof the right trapezoid:

P=x+5+17+y3+2y3 P=x+5+17+\frac{y}{3}+\frac{2y}{3}

P=x+22+2y+y3 P=x+22+\frac{2y+y}{3}

P=x+22+3y3 P=x+22+\frac{3y}{3}

P=x+22+y P=x+22+y

It can be seen that the two perimeters are identical to each other.

3

Final Answer

Their perimeters are identical.

Practice Quiz

Test your knowledge with interactive questions

Given the trapezoid:

999121212555AAABBBCCCDDDEEE

What is the area?

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