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
b (3.4y)^2 units
c 3.4 + y units
d 3.4y units
To solve this problem, we need to understand the concept of dilation. When a shape is dilated by a scale factor of k, all its side lengths are multiplied by k.
In this case, trapezoid QRST is dilated by a scale factor of 3.4. Therefore, each side length of trapezoid QRST is multiplied by 3.4.
The perimeter of a trapezoid is the sum of the lengths of all its sides. Therefore, the perimeter of trapezoid QRST is 3.4 times the perimeter of trapezoid Q'R'S'T'.
So, the correct answer is d) 3.4y units.