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18 Dec 2019, 08:18
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
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Question Stats:
48% (02:48) correct
52%
(02:51)
wrong
based on 52
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The sides of a rectangle are all produced in order, in such a way that the length of each side is increased by k times itself. The area of the new quadrilateral formed becomes 2.5 times the area of the original rectangle. The value of k is:
(A) \(\frac{1}{3}\)
(B) \(\frac{1}{4 }\)
(C) \(\frac{1}{2}\)
(D) \(\frac{2}{3 }\)
(E) \(\frac{1}{5}\)
(A) \(\frac{1}{3}\)
(B) \(\frac{1}{4 }\)
(C) \(\frac{1}{2}\)
(D) \(\frac{2}{3 }\)
(E) \(\frac{1}{5}\)
23 Dec 2019, 11:24
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The sides of a rectangle are all produced in order, in such a way that the length of each side is increased by k times itself. The area of the new quadrilateral formed becomes 2.5 times the area of the original rectangle. The value of k is:
(A) \(\frac{1}{3}\)
(B) \(\frac{1}{4 }\)
(C) \(\frac{1}{2}\)
(D) \(\frac{2}{3 }\)
(E) \(\frac{1}{5}\)
(A) \(\frac{1}{3}\)
(B) \(\frac{1}{4 }\)
(C) \(\frac{1}{2}\)
(D) \(\frac{2}{3 }\)
(E) \(\frac{1}{5}\)
from given info
x*y*k^2 = x*y* 2.5
k^2 = 2.5
k ~ 1.5
IMO C ; 1/2
27 Dec 2019, 19:34
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The sides of a rectangle are all produced in order, in such a way that the length of each side is increased by k times itself. The area of the new quadrilateral formed becomes 2.5 times the area of the original rectangle. The value of k is:
(A) \(\frac{1}{3}\)
(B) \(\frac{1}{4 }\)
(C) \(\frac{1}{2}\)
(D) \(\frac{2}{3 }\)
(E) \(\frac{1}{5}\)
(A) \(\frac{1}{3}\)
(B) \(\frac{1}{4 }\)
(C) \(\frac{1}{2}\)
(D) \(\frac{2}{3 }\)
(E) \(\frac{1}{5}\)
This question is deeply flawed. None of the answer choices make sense. If the new quadrilateral is 2.5 times bigger, then the length increased by Sqrt(2.5), which is k.
