Trapezoid QRST is dilated by a scale factor of 3.4 to create trapezoid Q'R'S'T'. The perimeter of trapezoid QRST is y units.
What is the perimeter in units of trapezoid Q'R'S'T'?
Responses
A (3.4)2y units(3.4) 2 y units
B (3.4y)2 units(3.4 y ) 2 units
C 3.4 + y units3.4 + y units
D 3.4y units3.4 y units
The perimeter of a figure is the sum of all its side lengths. Since the scale factor is 3.4, each side of trapezoid Q'R'S'T' is 3.4 times longer than the corresponding side of trapezoid QRST.
Therefore, the perimeter of trapezoid Q'R'S'T' is 3.4 times the perimeter of trapezoid QRST.
So the perimeter of trapezoid Q'R'S'T' is 3.4y units.
The correct answer is D) 3.4y units.