Problema Solution
The length of a rectangular board is 3 feet less than twice its width. A second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimension of the first rectangular board. If the perimeter of the second board is one fifth the perimeter of the first, the perimeter of the first rectangular board is
Answer provided by our tutors
Let
x = the width of the first board
2x - 3 = the length of the first board
2x + 2(2x - 3) = 7x - 6 is the perimeter of the first board
1/x and 1/(2x - 3) are the dimensions of the second board
2/x + 2/(2x - 3) is the perimeter of the second board
2/x + 2/(2x - 3) = (1/5)(7x - 6)
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There is no real solution thus the problem has no solutions.