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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.
Q. Quantity A: The length of a leg of an isosceles right triangle with area R.
Quantity B: The length of a side of a square with area R.
  • 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.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
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 x2 / 2. 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 x2 / 2 = s2 and so x = √2s.
Since √2 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.
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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaningthroughout the question.Q. Quantity A: The length of a leg of an isosceles right triangle with area R.Quantity B: The length of a side of a square with area R.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.Correct answer is option 'A'. Can you explain this answer?
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