Question

If a quadrilateral Q is a scaled copy of quadrilateral P with a scale factor of three, what is the perimeter of Q?

A. Three times the perimeter of P.
B. Twice the perimeter of P.
C. Half the perimeter of P.
D. The same as the perimeter of P.

Answer 1

The perimeter of quadrilateral Q is three times the perimeter of quadrilateral P.

Step-by-step explanation:

The perimeter of quadrilateral Q is three times the perimeter of quadrilateral P.

To find the perimeter of Q, we need to multiply the side lengths of P by the scale factor of 3. Let's say the perimeter of P is P and the perimeter of Q is Q. Since all sides of Q are scaled by a factor of 3 compared to P, we have:

Q = 3P

Therefore, the perimeter of Q is three times the perimeter of P, so the correct answer is A. Three times the perimeter of P.