MathDB

The word "'''HELP'''" in block letters is painted in black with strokes

1

unit wide on a

5

15

rectangular white sign with dimensions as shown. The area of the white portion of the sign, in square units, is
[asy] unitsize(12); fill((0,0)--(0,5)--(1,5)--(1,3)--(2,3)--(2,5)--(3,5)--(3,0)--(2,0)--(2,2)--(1,2)--(1,0)--cycle,black); fill((4,0)--(4,5)--(7,5)--(7,4)--(5,4)--(5,3)--(7,3)--(7,2)--(5,2)--(5,1)--(7,1)--(7,0)--cycle,black); fill((8,0)--(8,5)--(9,5)--(9,1)--(11,1)--(11,0)--cycle,black); fill((12,0)--(12,5)--(15,5)--(15,2)--(13,2)--(13,0)--cycle,black); fill((13,3)--(14,3)--(14,4)--(13,4)--cycle,white); draw((0,0)--(15,0)--(15,5)--(0,5)--cycle); label("5\left\{ \begin{tabular}{c} \\ \\ \\ \\ \end{tabular}\right.",(1,2.5),W); label(rotate(90)*"

\{

",(0.5,0.1),S); label("

1

",(0.5,-0.6),S); label(rotate(90)*"

\{

",(3.5,0.1),S); label("

1

",(3.5,-0.6),S); label(rotate(90)*"

\{

",(7.5,0.1),S); label("

1

",(7.5,-0.6),S); label(rotate(90)*"

\{

",(11.5,0.1),S); label("

1

",(11.5,-0.6),S); label(rotate(270)*"\left\{ \begin{tabular}{c} \\ \\ \end{tabular}\right.",(1.5,4),N); label("

3

",(1.5,5.8),N); label(rotate(270)*"\left\{ \begin{tabular}{c} \\ \\ \end{tabular}\right.",(5.5,4),N); label("

3

",(5.5,5.8),N); label(rotate(270)*"\left\{ \begin{tabular}{c} \\ \\ \end{tabular}\right.",(9.5,4),N); label("

3

",(9.5,5.8),N); label(rotate(270)*"\left\{ \begin{tabular}{c} \\ \\ \end{tabular}\right.",(13.5,4),N); label("

3

",(13.5,5.8),N); label("\left. \begin{tabular}{c} \\ \end{tabular}\right\} 2",(14,1),E); [/asy]

\text{(A)}\ 30 \qquad \text{(B)}\ 32 \qquad \text{(C)}\ 34 \qquad \text{(D)}\ 36 \qquad \text{(E)}\ 38

Problem Statement