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09 Aug 2025, 00:54
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Difficulty:
25%
(medium)
Question Stats:
72% (01:26) correct
27% (02:19) wrong based on 11 sessions
History
Date
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A sheet of rectangular paper measures 12 cm by 20 cm. At the edge of the paper, a margin exactly 1-cm wide is painted all the way around. What percentage of the area of the original rectangle remains unpainted?
A. 95%
B. 90%
C. 85%
D. 80%
E. 75%
A. 95%
B. 90%
C. 85%
D. 80%
E. 75%
16 Aug 2025, 04:31
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Official Explanation
The original area of the 12 by 20 page was 12 × 20 = 240 \(cm^2\). When a 1-cm margin is painted around the edge of the paper, the length and width of the unpainted region are each reduced by 2 cm, because the paint covers both the top and bottom of the page, as well as the left and right of the page. Therefore, the unpainted region now measures (12 - 2) by (20 - 2), or 10 by 18, and its area is \(10 × 18 = 180 cm^2.\) This means that or 75% remains unpainted, (E).
Answer: E
The original area of the 12 by 20 page was 12 × 20 = 240 \(cm^2\). When a 1-cm margin is painted around the edge of the paper, the length and width of the unpainted region are each reduced by 2 cm, because the paint covers both the top and bottom of the page, as well as the left and right of the page. Therefore, the unpainted region now measures (12 - 2) by (20 - 2), or 10 by 18, and its area is \(10 × 18 = 180 cm^2.\) This means that or 75% remains unpainted, (E).
Answer: E
