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 units
The scale factor for the dilation is 3.4. This means that each side of trapezoid QRST is multiplied by 3.4 when creating trapezoid Q'R'S'T'.
Therefore, the perimeter of trapezoid Q'R'S'T' is also multiplied by 3.4.
So, the perimeter of trapezoid Q'R'S'T' is 3.4 times the perimeter of trapezoid QRST.
This can be written as 3.4y, where y is the perimeter of trapezoid QRST.
Therefore, the answer is D) 3.4y units.