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jmc

prealgebra senior

Problem

A 4-inch by 6-inch picture is enlarged for framing by tripling its dimensions. A 2-inch-wide border is then placed around each side of the enlarged picture, as shown. Thin metal framing is sold only in increments of one foot. What is the minimum number of linear feet of framing that must be purchased to go around the perimeter of the border?

problem
Solution
After the picture is enlarged by tripling its dimensions, the dimensions become . After the border is added, the dimensions of the picture increase to (since each side has a 2-inch border). The perimeter is inches. Since , we need feet of framing to go around the entire picture.
Final answer
7