Problema Solution

A 9 square ft painting is mounted with border on a square frame. If the total area of the border os 3.25 square ft, what is the length of a side of a frame?

Answer provided by our tutors

let


a = the length of a side of a frame, a>0


the area of the frame is a^2 and is equal to the sum of the area of the painting and the border area


a^2 = 9 + 3.25


by solving we find


a = 3.5 ft


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the length of a side of a frame is 3.5 ft.