Quandaries
and Queries 

Hello! My question is each side of a square S is 18 inches long and the area of S is at least 3 times the area of a rectangle that is 9 inches wide. What is the greatest possible length in inches of the rectangle? Other. I am just curious. i would say maybe a 6th grade question. thank you for your help rebecca 

Hi Rebecca, Since the square has each side of length 18 inches its area is 18^{2} = 324 square inches. Since the area of the square is at least three times the area is the rectangle, the largest area the rectangle can have is 3 324 = 972 square inches. The rectangle is 9 inches wide so its area is 9 its length. Thus
Hence the length is at most ^{927}/_{9} = 103 inches. Penny 

