Difference between revisions of "2001 AMC 8 Problems/Problem 8"
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Genevieve puts bracing on her large kite in the form of a cross connecting opposite corners of the kite. How many inches of bracing material does she need? | Genevieve puts bracing on her large kite in the form of a cross connecting opposite corners of the kite. How many inches of bracing material does she need? | ||
− | <math>\text{(A)}\ 30 \qquad \text{(B)}\ 32 \qquad \text{(C)}\ 35 \qquad \text{(D)}\ | + | <math>\text{(A)}\ 30 \qquad \text{(B)}\ 32 \qquad \text{(C)}\ 35 \qquad \text{(D)}\ 37 \qquad \text{(E)}\ 39</math> |
==Solution== | ==Solution== |
Revision as of 15:55, 24 October 2016
Problem
Genevieve puts bracing on her large kite in the form of a cross connecting opposite corners of the kite. How many inches of bracing material does she need?
Solution
Each diagonal of the large kite is times the length of the corresponding diagonal of the short kite since it was made with a grid times as long in each direction. The diagonals of the small kite are and , so the diagonals of the large kite are and , and the amount of bracing Genevieve needs is the sum of these lengths, which is
See Also
2001 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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 |
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