You own a painting whose dimensions are 24 inches by 30 inches. If you create a postcard-sized reproduction of the painting whose area is 20 square inches, what is the scaling factor for the reproduction?
A) 1/4
B) 1/6
C) 1/36
D) 2/3

Question

Quizplus · Accepted Answer

The area of the original painting is 24 x 30 = 720 square inches.

To find the scaling factor, we can set up the equation:

(scale factor)^2 x 20 = 720

Simplifying:

(scale factor)^2 = 36

Taking the square root of both sides:

scale factor = 6

This means the postcard-sized reproduction is 1/6 the size of the original painting, so the answer is B.

You Own a Painting Whose Dimensions Are 24 Inches by 30