In the figure shown, CE¯ has length 40 feet, EA¯ has length 20 feet, and DE¯ is perpendicular to AC¯ and has length 10 feet. What is the area, in feet2, of ΔABC?

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GMAT Quantitative: Problem Solving Practice Test 1 — practice the complete quiz, review flashcards, or try a random question.

Problem Solving questions are mixed in with Data Sufficiency questions to make up the 37 questions of the GMAT Quantitative section, which must be completed in 75 minutes. The Problems You’ll Work On When working through the problem solving questions test your understanding of: Basic math, including fractions, decimals, ratios and proportions, percents, and exponents. Probability and Statistics, including counting techniques, permutations and combinations, basic probability, arithmetic mean, median, mode, and standard deviation. Algebra, including polynomials, linear equations and... Show more

In the figure shown, <img><m:mrow><m:mover accent='true'><m:mrow><m:mi>C</m:mi><m:mi>E</m:mi></m:mrow><m:mo stretchy='true'>¯</m:mo></m:mover></m:mrow></m:math> has length 40 feet, <img><m:mrow><m:mover accent='true'><m:mrow><m:mi>E</m:mi><m:mi>A</m:mi></m:mrow><m:mo stretchy='true'>¯</m:mo></m:mover></m:mrow></m:math> has length 20 feet, and <img><m:mrow><m:mover accent='true'><m:mrow><m:mi>D</m:mi><m:mi>E</m:mi></m:mrow><m:mo stretchy='true'>¯</m:mo></m:mover></m:mrow></m:math> is perpendicular to <img><m:mrow><m:mover accent='true'><m:mrow><m:mi>A</m:mi><m:mi>C</m:mi></m:mrow><m:mo stretchy='true'>¯</m:mo></m:mover></m:mrow></m:math> and has length 10 feet. What is the area, in <img><m:mrow><m:msup><m:mrow><m:mi mathvariant='normal'>feet</m:mi></m:mrow><m:mn>2</m:mn></m:msup></m:mrow></m:math>, of Δ<em>ABC</em>? <br><img src='https://www.fatskills.com/images2/GMAT/9781119363125-fg0304.png' alt='image'>