# Difference between revisions of "2006 AMC 10B Problems/Problem 20"

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## Revision as of 21:36, 3 August 2006

## Problem

In rectangle , we have , , , for some integer . What is the area of rectangle ?

## Solution

Let the slope of be and the slope of be .

Since and form a right angle:

Using the distance formula:

Therefore the area of rectangle is