To swim a mile in a certain rectangular pool, a swimmer must either swim the len

Question

To swim a mile in a certain rectangular pool, a swimmer must either swim the length eighty times or negotiate the perimeter of the pool twenty-two times. What is the area of the pool in square yards? If the retail price for a book is 25 percent more than its cost to the seller, what percent of the final price is profit? A grocer wishes to put up 20 pounds of tea into 2- pound packets, but he has misplaced all but two weights - a 5-pound and a 9-pound. Using a balance scale, what is the fewest number of weightings needed to accomplish the task? A house has exactly eight different doors. In how many ways is it possible to enter by one door and leave by a different door? Suppose a drug comes in tablets of 150mg each. The dosage ordered is 375mg. How many tablets are needed? What is the greatest possible area for a rhombus constructed on an 8 1/2 by 11 inch sheet of paper?

Explanation / Answer

1.

Swimmer can swin = 80*L

Or

swimmer can swim = 22*[2*(L + W)]

80*L = 44*(L + W)

36*L = 44*W

L = 11*W/9

Now given that

80*L = 1 mile = 1760 yard

L = 220 yard

W = 9*220/11 = 180 yard

Area = L*W = 220*180 = 39600 square yards

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