Difference between revisions of "1999 CEMC Gauss (Grade 7) Problems/Problem 13"
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==Problem== | ==Problem== | ||
In the diagram, the percent of small squares that are shaded is | In the diagram, the percent of small squares that are shaded is | ||
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<math>\text{(A)}\ 9 \qquad \text{(B)}\ 33 \qquad \text{(C)}\ 36 \qquad \text{(D)}\ 56.25 \qquad \text{(E)}\ 64</math> | <math>\text{(A)}\ 9 \qquad \text{(B)}\ 33 \qquad \text{(C)}\ 36 \qquad \text{(D)}\ 56.25 \qquad \text{(E)}\ 64</math> | ||
==Solution== | ==Solution== |
Latest revision as of 12:27, 22 April 2025
Problem
In the diagram, the percent of small squares that are shaded is
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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
.