2010 AMC 12B Problems/Problem 2
Problem 2
A big 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]](http://latex.artofproblemsolving.com/1/2/2/122a4290575eda1b63a0b302c47384ced6bb393e.png)
Solution
We find the area of the big rectangle to be , and the area of the smaller rectangle to be
. The answer will then be $40 - 18 = 22 \LongRightArrow (A)$ (Error compiling LaTeX. Unknown error_msg).