Multiple choice

Figure $ABCD$ is a trapezoid with area $50$ square units. If the length of $\overline{AB}$ is $6$ units and the length of $\overline {BC}$ is $5$ units, what is the length of $\overline {CD}$?

  1. $4$
  2. $5$
  3. $6$
  4. $10$
  5. $14$
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E Correct answer
AI explanation

The area of a trapezoid is calculated using the formula Area = (1/2) * (base1 + base2) * height. Substituting the given values, we have 50 = (1/2) * (6 + CD) * 5. Simplifying this results in 100 = 30 + 5 * CD, and solving for CD gives 70 = 5 * CD. The length of CD is 14 units.

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