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    g0906 g0906 Presentation Transcript

    • Geometry Item 09-06
      • 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?
        • 9.0
        • 16.8
        • 19.4
        • 45.0
      www.upcatreview.com
    • www.upcatreview.com 13 inches b 1 = ? h=5 inches Area =
    • 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
    • www.upcatreview.com 13 inches b 1 = ? h=5 inches Area =
    • b 2 = 13 inches h = 5 inches Area = 55 m 2 www.upcatreview.com Area =
    • 55 = ½(b 1 + 13)(5) 55 = ½( 9 + 13)(5) Choice A: 9 55 = ½(22)(5) www.upcatreview.com Area =
    • Thus, the answer is... www.upcatreview.com
    • A. 9 www.upcatreview.com
    • To verify, www.upcatreview.com
    • 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 =
    • 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 =
    • 55 = ½(b 1 + 13)(5) 55 = ½( 45 + 13)(5) Choice D: 45 55 ≠ ½(58)(5) www.upcatreview.com Area =