Discussion Forum

AMC 10 Mock Exam Discussion For 9/19: Question 20

 
 
LensmireJohn的头像
AMC 10 Mock Exam Discussion For 9/19: Question 20
LensmireJohn - 2023年09月20日 Wednesday 09:41
 

AMC 10 Mock Exam Question 20

An equilangular octagon has four sides of length $1$ and four sides of length $\dfrac{\sqrt{2}}{2}$, arranged so that no two consecutive sides have the same length. What is the area of the octagon?

$\displaystyle \textbf{(A) } \frac{7}{2}\qquad \textbf{(B) } \frac{7\sqrt2}{2}\qquad \textbf{(C) } \frac{5+4\sqrt2}{2}\qquad \textbf{(D) } \frac{4+5\sqrt2}{2}\qquad \textbf{(E) } 7$

Submit your answer and solution and explanation below! Solutions will be accepted for 48 hours until 9/21 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.