Question

A photographer is planning to enlarge a photograph by a scale factor of 1:5 . The original photograph has an area of 154 square inches.
What is the area of the new photograph?

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Answer 1

Whenever you are given a scale factor, that factor will apply to each dimension and because area is a two dimensional measurement, you multiply the area by 5 twice (so x5 x5). This means the new area would be 154x5^2. The new area of the photograph is 3850 square inches.