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'?
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 perimeter of a shape is determined by adding up the lengths of all its sides.
If the scale factor of the dilation is 3.4, then each side of trapezoid QRST would be multiplied by 3.4 to create the corresponding side of Q'R'S'T'.
Therefore, the perimeter of Q'R'S'T' would be 3.4 times the perimeter of QRST.
Using this information, we can conclude that the perimeter of trapezoid Q'R'S'T' is 3.4 times y, or 3.4y units.
Hence, the correct answer is D) 3.4y units.