# Math

We have a picture frame with width being 3 1/4 inches and length unknown. We need to fit picture with width of 4 cm and length 4.6 cm into frame.

What is the scale factor for enlargement?
What is length of unknown side of frame?

I was given the answer as the scale factor being 2.08 but have no idea how this number was found. Please help to explain! Thank you

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1. the ratio of 3.25in : 4cm for the short side is

3.25*2.54/4 = 2.07

close enough for jazz.

Now use that scale factor to enlarge 4.6cm. Probably should express the answer in inches, as well, since that was the original frame size unit.

Actually, you don't need the scale factor at all. 4.6 is 1.15 times as big as 4, so the length will be

3.25 * 1.15 = 3.7375 inches

That's an unusual number, so a more common length would be 3 3/4, or 3.75 inches

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posted by Steve

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