Difference between revisions of "1999 CEMC Gauss (Grade 7) Problems/Problem 13"
(Created page with "==Problem== In the diagram, the percent of small squares that are shaded is <math>\text{(A)}\ 9 \qquad \text{(B)}\ 33 \qquad \text{(C)}\ 36 \qquad \text{(D)}\ 56.25 \qquad \t...") |
|||
| Line 8: | Line 8: | ||
Since the large square has a side length of <math>5</math>, its area is <math>5^2 = 25</math>. | Since the large square has a side length of <math>5</math>, its area is <math>5^2 = 25</math>. | ||
| − | Therefore, the percentage of small squares that are shaded is <math>\frac{9}{25} = \frac{9 * 4}{25 * 4} = \frac{36}{100} = 36%</math>. So, the answer is <math>\boxed {\textbf {(C)} 36}</math>. | + | Therefore, the percentage of small squares that are shaded is <math>\frac{9}{25} = \frac{9 * 4}{25 * 4} = \frac{36}{100} = 36\%</math>. So, the answer is <math>\boxed {\textbf {(C)} 36}</math>. |
Revision as of 11:30, 15 April 2025
Problem
In the diagram, the percent of small squares that are shaded is
Solution
Using the diagram, we can see that nine of the rectangles are shaded, and that the large square has a side length of 
.
Since the large square has a side length of , its area is 
.
Therefore, the percentage of small squares that are shaded is 
. So, the answer is 
.
