Question

An artist recreated a famous painting using a 4:1 scale. The dimensions of the scaled painting are 8 inches by 10 inches. What are the dimensions of the actual painting?

40 inches by 50 inches
32 inches by 40 inches
12 inches by 14 inches
2 inches by 2.5 inches

Answer 1

To find the dimensions of the actual painting, we need to use the scale factor of 4:1. This means that the actual dimensions of the painting are four times larger than the scaled dimensions.

Let's start with the width of the actual painting:

8 inches (scaled width) × 4 = 32 inches (actual width)

Now, let's find the height of the actual painting:

10 inches (scaled height) × 4 = 40 inches (actual height)

Therefore, the dimensions of the actual painting are 32 inches by 40 inches.