MathDB
Twelve Sides

Source: 2018 AMC 8 #4

November 20, 2018
AMC 8geometry2018 AMC 8

Problem Statement

The twelve-sided figure shown has been drawn on 1 cm×1 cm1 \text{ cm}\times 1 \text{ cm} graph paper. What is the area of the figure in cm2\text{cm}^2?
[asy] unitsize(8mm); for (int i=0; i<7; ++i) { draw((i,0)--(i,7),gray); draw((0,i+1)--(7,i+1),gray); } draw((1,3)--(2,4)--(2,5)--(3,6)--(4,5)--(5,5)--(6,4)--(5,3)--(5,2)--(4,1)--(3,2)--(2,2)--cycle,black+2bp); [/asy]
<spanclass=latexbold>(A)</span>12<spanclass=latexbold>(B)</span>12.5<spanclass=latexbold>(C)</span>13<spanclass=latexbold>(D)</span>13.5<spanclass=latexbold>(E)</span>14<span class='latex-bold'>(A) </span> 12 \qquad <span class='latex-bold'>(B) </span> 12.5 \qquad <span class='latex-bold'>(C) </span> 13 \qquad <span class='latex-bold'>(D) </span> 13.5 \qquad <span class='latex-bold'>(E) </span> 14