2009 AMC 8 Problems/Problem 7
Contents
[hide]Problem
The triangular plot of ACD lies between Aspen Road, Brown Road and a railroad. Main Street runs east and west, and the railroad runs north and south. The numbers in the diagram indicate distances in miles. The width of the railroad track can be ignored. How many square miles are in the plot of land ACD?
Solution
The area of a triangle is . If we let be the base of the triangle, then the height is , and the area is .
Solution 2
We can see that there is a big triangle encasing . The area of that triangle is . We can easily see that triangle is , which is . is , so the answer is .
Video Solution
https://www.youtube.com/watch?v=Opz71P5o4uI ~David
Video Solution by OmegaLearn
https://youtu.be/j3QSD5eDpzU?t=158
~ pi_is_3.14
Video Solution by WhyMath
~savannahsolver
See Also
2009 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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.