Video: Calculate the Smaller Dimension Using a Scale Factor

The dimensions of a rectangular family photo are 14 inches high and 22.75 inches wide. Along with a Christmas card, the family sends a smaller copy of the photo to their relatives, in which the dimensions are 1/3 of the corresponding original dimensions. What is the height in inches of the photo they send?

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Video Transcript

The dimensions of a rectangular family photo are 14 inches high and 22.75 inches wide. Along with a Christmas card, the family sends a smaller copy of the photo to their relatives, in which the dimensions are one-third of the corresponding original dimensions. What is the height in inches of the photo they send?

We’re told in the question that the original photo is 14 inches high. The smaller copy is one-third of the original dimensions. To find one-third of any value, we divide the number by three. This means that the smaller copy will be 14 thirds or 14 over three inches high. We could calculate this as a decimal on our calculator by dividing 14 by three. This is equal to 4.666 et cetera or 4.6 recurring. In order to round this to the nearest hundredth or two decimal places, we need to round up as the six is greater than five. The height of the smaller copy is 4.67 inches to two decimal places. Either of these are acceptable values for the height of the smaller copy.

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