2010 AMC 12B Problems/Problem 2

Problem 2

A big $L$ is formed as shown. What is its area?

$[asy] unitsize(4mm); defaultpen(linewidth(.8pt)); draw((0,0)--(5,0)--(5,2)--(2,2)--(2,8)--(0,8)--cycle); label("8",(0,4),W); label("5",(5/2,0),S); label("2",(5,1),E); label("2",(1,8),N); [/asy]$

$\textbf{(A)}\ 22 \qquad \textbf{(B)}\ 24 \qquad \textbf{(C)}\ 26 \qquad \textbf{(D)}\ 28 \qquad \textbf{(E)}\ 30$

Solution

We find the area of the big rectangle to be $8 \times 5 = 40$ , and the area of the smaller rectangle to be $(8 - 2) \times (5 - 2) = 18$ . The answer will then be $40 - 18 = 22 \LongRightArrow (A)$ (Error compiling LaTeX. Unknown error_msg).

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2010 AMC 12B Problems/Problem 2

Problem 2

Solution