Problema Solution
John cut a rectangular piece of plywood such that the width and length were two consecutive odd integers. If the product of the length and width is 783 what were the dimensions of the piece of​ plywood?
Answer provided by our tutors
The two consecutive odd integers can be written as: 'x' and 'x + 2' representing the width and the length.
Since the product of the length and width is 783 we have:
x(x + 2) = 783
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click here to see the equation solved for x
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x = 27
We need to ignore the negative solution since the width and the length can not be negative numbers.
x + 2 = 27 + 2 = 29
The dimensions of the piece of plywood are 27 and 29.