Track / Stage 4 / 125 of 340 #385 of 1964

Problem 385

AMC 12 late, AIME early

Geometry Difficulty 4.7 Find the answer

Through the point $(2,3)$ on the line $p: y=2 x-1$ , a line $q$ perpendicular to the line $p$ was drawn. Find the area of the convex quadrilateral bounded by the lines $p, q$ and the coordinate axes.

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Answer: $4.75 \mid 19 / 4$

## Examples of answer notation:

## 8

8.5

$17 / 2$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.