Question

Trapezoid P Q R S and trapezoid W X Y Z shown below are similar. What is the perimeter of trapezoid W X Y Z?

Trapezoid P Q R S and trapezoid W X Y Z are placed side-by-side. Side P Q is nine meters. Side Q R is twelve meters. Side R S is nine meters. Side S P is six meters. Side X Y is eight meters.

6 meters

twenty meters

twenty-four meters

thirty-six meters

Answer 1

perimeter of pqrs is 9+12+9+6 = 36 as wxyz is similar and XY = 8 and XY corresponds to QR each length of WXYZ is 2/3 of corresponding lengths in PQRS so perimeter of WXYZ = = 2/3 * 36 = 24 meters

Answer 2

Thank you very much.

Answer 3

You're welcome :)