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

Question

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

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

We calculate the perimeter of the left trapezoid:

$P=10+12+x+y$

$P=22+x+y$

We calculate the perimeterof the right trapezoid:

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

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

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

$P=x+22+y$

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

Their perimeters are identical.