SOLUTION: i have a rectangular hole in the wall that measures 120 square inches and a picture that measures 6 inches by 8 inches. i want to put a rectangular frame around the picture to cove

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Question 138351: i have a rectangular hole in the wall that measures 120 square inches and a picture that measures 6 inches by 8 inches. i want to put a rectangular frame around the picture to cover the hole exactly. what are the dimensions of the frame?

Answer by solver91311(12126) About Me  (Show Source):
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There is no way to solve this problem as you have stated it. A 120 square inch rectangle could be 0.25 inches tall by 40 feet long, or it could be 1 inch wide by 10 feet tall. Given just the area of a rectangle, there are an infinite number of solutions. Now if it were true that the dimensions of the rectangular hole were in the same proportions as the 6 by 8 inch picture or you have any other fact that would allow you to determine the relationship between the lengths of the sides of the hole, then you would have a unique solution.