a Think about the free space you will have after the margin is taken into account. Which side will impose a limit in your reproduction's dimensions?
B
b Think about the free space you will have after the margin is taken into account. Which side will impose a limit in your reproduction's dimensions?
A
a 6.5:30
B
b 6.5:22.5
Practice makes perfect
a A painting is 30 inches wide and 22.5 inches tall. We want to reproduce it on a piece of paper that is 8 12inches by 11inches Also, we want to leave at least a 1inch margin on all four sides. Considering that the paper sheet is in an upright position, our reproduction would look as shown below.
We are asked to find the scale to make the reproduction as large as possible. We are limited by the smallest side, 6.5 inches. Then, the width of the painting's reproduction, can measure 6.5 inches at most. Let's see what scale would accomplish this.
Hence, the scale to be used so that the reproduction is as large as possible, when the paper is upright, is 6.5:30.
b This time, let's consider the situation where the piece of paper is on its side. Under these conditions, our reproduction would look as shown below.
We are limited by the smallest side, 6.5 inches. Then, the height of the reproduction can measure 6.5 inches at most. Let's see what scale would accomplish this.