AMC 10 Mock Exam Question 11
Square $EFGH$ has one vertex on each side of square $ABCD$. Point $E$ is on $AB$ with $AE=7\cdot EB$. What is the ratio of the area of $EFGH$ to the area of $ABCD$?
$\displaystyle\textbf{(A) } \frac{49}{64} \qquad\textbf{(B) } \frac{25}{32} \qquad\textbf{(C) } \frac78 \qquad\textbf{(D) } \frac{5\sqrt{2}}{8} \qquad\textbf{(E) } \frac{\sqrt{14}}{4}$
Submit your answer and solution and explanation below! Solutions will be accepted for 48 hours until 9/12 at 2pm Pacific Time. (There's still time for yesterday's problem too: click here.)
Top solutions for all the Mock Exam questions will be collected and shared as part of a full 25 Question Mock AMC 10 Exam.
Note: The question above is a past AMC problem. Solutions submitted must be written by students. Copied solutions will be disqualified.