Start by converting between feet and inches. You can use a conversion factor 12in.ft for this.
J
Practice makes perfect
Here are the dimensions of a painting we want to dilate using scale factor of 0.25.
Width:& 3 ft
Length:& 6 ft
Let's start by converting between feet and inches. We do it because all the answers are expressed using inches. To do so, we need to use a conversion factor of 12in.ft. It is a ratio of two equal lengths expressed using different units.
Width:& 3 ft * 12in.ft = 36 in. [0.7em]
Length:& 6 ft * 12in.ft = 72 in.
Now we can find the size of the paper by multiplying the dimensions of the painting by the scale factor k.
preimage length * k = image length
In our case, the scale factor k is 0.25. Let's find the width and the length of the paper.
Width (in.)
Length (in.)
Painting (Preimage)
36
72
Paper (Image)
36 * 0.25 = 9
72 * 0.25 = 18
To be able to replicate the painting, the paper should be 9 inches wide and 18 inches long. This corresponds to answer J.
