Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,

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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 s2. Since you are given that an isosceles right triangle and a square have the same area R, it follows that, and so x =s.
Sinceis 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
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