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The width and the length of a rectangular piece of plywood

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The width and the length of a rectangular piece of plywood [#permalink] New post 09 Dec 2017, 16:11
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The width and the length of a rectangular piece of plywood are 4 feet and 8 feet, respectively. Along one edge of the plywood, a strip x inches wide and 8 feet long is removed. Then, along an edge perpendicular to the 8-foot edge, a strip x inches wide is removed. For what value of x will the remaining rectangular piece have width and length in the ratio of 2 to 5? (1 foot = 12 inches)

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[Reveal] Spoiler: OA
16

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Re: The width and the length of a rectangular piece of plywood [#permalink] New post 15 Dec 2017, 08:22
Not getting the correct answer but I may not be understanding the solution correctly. Anyone have a worked answer for this one?
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Re: The width and the length of a rectangular piece of plywood [#permalink] New post 15 Dec 2017, 09:08
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If I understood right, we removed x wide around the rectangular piece of plywood to get a new ratio 2/5
So the actual ration is 4/8 and since we removed to each of the lenght x we can write as follows
(4-x)/(8-x) = 2/5
We cross multiply
2(8-x) = 5(4-x)
16× - 2x = 20-5x
Which gives us at the end x = 4/3
Since 1 foot is 12 inches, we multiply 4/3 by 12 and we get the 16...
Re: The width and the length of a rectangular piece of plywood   [#permalink] 15 Dec 2017, 09:08
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The width and the length of a rectangular piece of plywood

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