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2013 AMC 10A Problem 18

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2013 AMC 10A Problem 18AMC 10 Step by Step

Name: Date: September 13, 2026

Coordinate Geometry · difficulty 3 of 5 · about 5 min · position P16-20

Let points $A = (0, 0)$ , $B = (1, 2)$ , $C=(3, 3)$ , and $D = (4, 0)$ . Quadrilateral $ABCD$ is cut into equal area pieces by a line passing through $A$ . This line intersects $\overline{CD}$ at point $\bigg(\frac{p}{q}, \frac{r}{s}\bigg)$ , where these fractions are in lowest terms. What is $p+q+r+s$ ?

A)
$54$
B)
$58$
C)
$62$
D)
$70$
E)
$75$

2013 AMC 10A Problem 18

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