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Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,
Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,
admin
2015-03-24
40
问题
Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question.
选项
答案
A
解析
In an isosceles right triangle, both legs have the same length. The area of an isosceles right triangle with legs of length x is equal to
. The area of a square with sides of length s is s
2
. Since you are given that an isosceles right triangle and a square have the same area R, it follows that
, and so x =
s.
Since
is greater than 1, the length of a leg of the triangle is greater than the length of a side of the square. The correct answer is Choice A.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 5: Simplify an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
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本试题收录于:
GRE QUANTITATIVE题库GRE分类
0
GRE QUANTITATIVE
GRE
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