g0906

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g0906

  1. 1. Geometry Item 09-06 <ul><li>If a trapezoid has an altitude of 5 inches, an area of 55 square inches, and one base 13 inches long, what is the length, in inches, of its other base? </li></ul><ul><ul><li>9.0 </li></ul></ul><ul><ul><li>16.8 </li></ul></ul><ul><ul><li>19.4 </li></ul></ul><ul><ul><li>45.0 </li></ul></ul>www.upcatreview.com
  2. 2. www.upcatreview.com 13 inches b 1 = ? h=5 inches Area =
  3. 3. Tip #33: The Answer is in the choices It is sometimes easier to reverse the process. Choose the answer that would fit the solution rather than solving for the right answer. www.upcatreview.com
  4. 4. www.upcatreview.com 13 inches b 1 = ? h=5 inches Area =
  5. 5. b 2 = 13 inches h = 5 inches Area = 55 m 2 www.upcatreview.com Area =
  6. 6. 55 = ½(b 1 + 13)(5) 55 = ½( 9 + 13)(5) Choice A: 9 55 = ½(22)(5) www.upcatreview.com Area =
  7. 7. Thus, the answer is... www.upcatreview.com
  8. 8. A. 9 www.upcatreview.com
  9. 9. To verify, www.upcatreview.com
  10. 10. 55 = ½(b 1 + 13)(5) 55 = ½( 16.8 + 13)(5) Choice B: 16.8 55 ≠ ½(29.8)(5) www.upcatreview.com Area =
  11. 11. 55 = ½(b 1 + 13)(5) 55 = ½( 19.4 + 13)(5) Choice C: 19.4 55 ≠ ½(32.4)(5) www.upcatreview.com Area =
  12. 12. 55 = ½(b 1 + 13)(5) 55 = ½( 45 + 13)(5) Choice D: 45 55 ≠ ½(58)(5) www.upcatreview.com Area =

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