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

The right trapezoid shows two sides labeled $\frac{y}{3}$ and $\frac{2y}{3}$. Since they have the same denominator, we add the numerators: $\frac{y + 2y}{3} = \frac{3y}{3} = y$.

Even though the trapezoids have different shapes and orientations, their side lengths add up to the same algebraic expression: $22 + x + y$. Perimeter only depends on side lengths, not shape!

It means that for any values of x and y, both trapezoids will have exactly the same perimeter measurement. If x = 5 and y = 8, both perimeters equal 35 units.

No! Visual appearance can be misleading. You must calculate each perimeter algebraically by adding all four side lengths to make an accurate comparison.

Having the same perimeter does not mean having the same area! These trapezoids have different shapes and orientations, so their areas will be different even though their perimeters match.