AMC8 1993
AMC8 1993 · Q13
AMC8 1993 · Q13. It mainly tests Area & perimeter.
The word "HELP" in block letters is painted in black with strokes 1 unit wide on a 5 by 15 rectangular white sign with dimensions as shown. The area of the white portion of the sign, in square units, is
单词“HELP”用1单位宽的黑线条在5×15的白色矩形标志上涂成块字母，尺寸如图所示。标志白色部分的面积（平方单位）是
(A)
30
30
(B)
32
32
(C)
34
34
(D)
36
36
(E)
38
38
Answer
Correct choice: (D)
正确答案：（D）
Solution
Compute the area of the black letters and subtract it from $5\times15=75$, the total area of the sign:
$H$: $2(1\times5)+1\times1=11$.
$E$: $1\times5+3(2\times1)=11$.
$L$: $1\times5+1\times2=7$.
$P$: $1\times5+2(1\times1)+1\times3=10$.
The area of the white portion is $75-(11+11+7+10)=36$.
先求黑色字母面积，再用总面积 $5\times15=75$ 相减：
$H$：$2(1\times5)+1\times1=11$。
$E$：$1\times5+3(2\times1)=11$。
$L$：$1\times5+1\times2=7$。
$P$：$1\times5+2(1\times1)+1\times3=10$。
白色部分面积为 $75-(11+11+7+10)=36$。
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