Trapezoid QRST is dilated by a scale factor of 3.4 to create trapezoid QRST. The perimeter of the trapezoid QRST is Y units.
What is the perimeter in units of trapezoid QRST
A) (3.4)^2y units
B) (3.4) ^2 units
C) 3.4 + y units
D) 3.4y units
If trapezoid QRST is dilated by a scale factor of 3.4, then all side lengths of the trapezoid will be multiplied by 3.4.
Let's say the original side lengths of the trapezoid QRST are a, b, c, and d.
After dilation, the corresponding side lengths will be 3.4a, 3.4b, 3.4c, and 3.4d.
The perimeter of the dilated trapezoid QRST will be the sum of these side lengths: 3.4a + 3.4b + 3.4c + 3.4d = 3.4(a + b + c + d).
The perimeter of the dilated trapezoid QRST is equal to 3.4 times the perimeter of the original trapezoid QRST.
Therefore, the correct answer is D) 3.4y units.