Problem 271

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Problem 271: (2001 AMC 10 24)

In trapezoid $ABCD$, $\overline{AB}$ and $\overline{CD}$ are perpendicular to $\overline{AD}$, with $AB+CD=BC$, $AB<CD$, and $AD=7$. What is $AB\cdot CD$? $\textbf{(A)}\ 12 \qquad$ $ \textbf{(B)}\ 12.25 \qquad$ $ \textbf{(C)}\ 12.5 \qquad$ $ \textbf{(D)}\ 12.75 \qquad$ $ \textbf{(E)}\ 13$

Solution

Exercise 271: Solution

In trapezoid $ABCD$, $\overline{AB}$ and $\overline{CD}$ are perpendicular to $\overline{AD}$, with $AB+CD=BC$, $AB<CD$, and $AD=10$. What is $AB\cdot CD$?

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