Difference between revisions of "2011 AMC 8 Problems/Problem 7"
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Each of the following four large congruent squares is subdivided into combinations of congruent triangles or rectangles and is partially '''bolded'''. What percent of the total area is partially bolded? | Each of the following four large congruent squares is subdivided into combinations of congruent triangles or rectangles and is partially '''bolded'''. What percent of the total area is partially bolded? | ||
<asy> | <asy> |
Revision as of 19:54, 4 November 2012
Problem
Each of the following four large congruent squares is subdivided into combinations of congruent triangles or rectangles and is partially bolded. What percent of the total area is partially bolded?
Solution
Assume that the area of each square is one. Then, the area of the shade region in the top left square is 1/4. The area of the top right shaded region is 1/8. The area of the bottom left shaded region is 3/8. And the area of the bottom right shaded region is 1/4. Add the four fractions: 1/4 + 1/8 + 3/8 + 1/4 = 1. The four squares together have an area of 4, so the percent is 1/4 = 25%. Therefore the solution is
See Also
2011 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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 |