Difference between revisions of "1993 AJHSME Problems/Problem 13"
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==Problem== | ==Problem== | ||
− | The word "'''HELP'''" in block letters is painted in black with strokes <math>1</math> unit wide on a <math>5</math> by <math>15</math> rectangular white sign with dimensions as shown. The area of the white portion of the sign, in square units, is | + | The word "'''HELP'''" in block letters is painted in black with strokes <math>1</math> unit wide on a <math>5</math> by <math>15</math> rectangular white sign with dimensions as shown. The area of the white portion of the sign, in square units, is |
<asy> | <asy> | ||
Line 11: | Line 11: | ||
fill((13,3)--(14,3)--(14,4)--(13,4)--cycle,white); | fill((13,3)--(14,3)--(14,4)--(13,4)--cycle,white); | ||
draw((0,0)--(15,0)--(15,5)--(0,5)--cycle); | draw((0,0)--(15,0)--(15,5)--(0,5)--cycle); | ||
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</asy> | </asy> | ||
Latest revision as of 04:55, 25 November 2019
Problem
The word "HELP" in block letters is painted in black with strokes unit wide on a by rectangular white sign with dimensions as shown. The area of the white portion of the sign, in square units, is
Solution
Count the number of black squares in each letter. H has 11, E has 11, L has 7, and P has 10, giving the number of black squares to be . The total number of squares is and the number of white squares is .
See Also
1993 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.