TAILIEUCHUNG - Master the Gre 2010 - Part 30

Peterson's Master the Gre 2010 - Part book includes 9 full-length practice tests , thorough reviews of every section on the exam, and expert tips and strategies from a test prep pro. GRE (Graduage Record Examination General Test) is a commercially-run standardized test and an admission requirement for many graduate schools in USA and other English-speaking countries. GRE can earn you between 200-800 points. | Chapter 11 Math Review Geometry 273 75 100 125 150 200 7. If a square s sides are each increased by 50 by what percent does the square s area increase A B C D E The correct answer is C . Letting s the length of each side before the 2 3 increase area s2. If s the length of each side after the increase the new s2. The increase from s2 to s2 is or 125 . 3 area -s 2 2 9 2 9 2 5 --------------------- 4 r 4 GRE questions involving non-square rectangles also come in many possible flavors. For example a question might ask you to determine area based on perimeter or vice versa. 8. The length of a rectangle with area 12 is three times the rectangle s width. What is the perimeter of the rectangle inches Enter a number in the box. The correct answer is 16 . The ratio of length to width is 3 1. The ratio 6 2 is equivalent and 6 X 2 12 the area . Thus the perimeter 2 6 2 2 16. A question might involve the properties of a square or rectangle as well as those of another geometric figure such as a right isosceles or equilateral triangle. 9. A rectangular block of wood is to be cut into sections to form either two triangular enclosures or three rectangular enclosures. All wood sections must be equal in length on all sides. Column A Column B The total area of the two The total area of the three proposed proposed triangular rectangular enclosures enclosures A The quantity in Column A is greater. B The quantity in Column B is greater. C The quantities are equal. D The relationship cannot be determined from the information given. The correct answer is A . Since the sections must all be equal in length the triangles must each be equilateral and the rectangles must each be square. The easiest way to make the comparison is to assign to the length of the original block a number that is the least common multiple of 6 and 12 the total number of sides among the triangles and squares respectively . That multiple of course is 12. Each triangle side 2. Applying the area formula for equilateral .

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