Difference between revisions of "2024 AMC 10B Problems/Problem 10"
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| + | ==Problem== | ||
| + | Quadrilateral <math>ABCD</math> is a parallelogram, and <math>E</math> is the midpoint of the side <math>AD</math>. Let <math>F</math> be the intersection of lines <math>EB</math> and <math>AC</math>. What is the ratio of the area of | ||
| + | quadrilateral <math>CDEF</math> to the area of triangle <math>CFB</math>? | ||
| + | <math>\textbf{(A) } 5:4 \qquad\textbf{(B) } 4:3 \qquad\textbf{(C) } 3:2 \qquad\textbf{(D) } 5:3 \qquad\textbf{(E) } 2:1</math> | ||
| + | |||
| + | ==Solution 1== | ||
| + | Assume <math>ABCD</math> is a square, sidelength 1 on Cartesian coordinate system... | ||
| + | |||
| + | ==See also== | ||
| + | {{AMC10 box|year=2024|ab=B|num-b=9|num-a=11}} | ||
| + | {{MAA Notice}} | ||
Revision as of 00:56, 14 November 2024
Problem
Quadrilateral 
is a parallelogram, and 
is the midpoint of the side 
. Let 
be the intersection of lines 
and 
. What is the ratio of the area of
quadrilateral 
to the area of triangle 
?
Solution 1
Assume is a square, sidelength 1 on Cartesian coordinate system...
See also
| 2024 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 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 AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
