Difference between revisions of "2009 AMC 8 Problems/Problem 7"
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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? | 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? | ||
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<asy> | <asy> | ||
size(250); | size(250); | ||
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label(rotate(63.43494882)*"Brown", A--D, NW); | label(rotate(63.43494882)*"Brown", A--D, NW); | ||
</asy> | </asy> | ||
− | <math>\textbf{(A)}\ 2\qquad | + | |
− | \textbf{(B)}\ 3 \qquad | + | <math>\textbf{(A)}\ 2\qquad \textbf{(B)}\ 3 \qquad \textbf{(C)}\ 4.5 \qquad \textbf{(D)}\ 6 \qquad \textbf{(E)}\ 9</math> |
− | \textbf{(C)}\ 4.5 \qquad | ||
− | \textbf{(D)}\ 6 \qquad | ||
− | \textbf{(E)}\ 9</math> | ||
==Solution== | ==Solution== |
Revision as of 15:32, 16 January 2021
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 .
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 |
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