text: Associated Topics || Dr. Math Home || Search Dr. Math
  
  ### SAT Rectangle Area Question
  
  ```Date: 04/23/2004 at 18:24:55
  From: Max
  Subject: SAT rectangle
  
  In rectangle ABCD, Point E is the midpoint of side BC.  If the area of
  quadrilateral ABED is 2/3, what is the area of rectangle ABCD?
  
  I drew the rectangle out, made 2/3 into a decimal of .66, figured the
  other part of the triangle is 1/3 but don't know where to go from
  there.
  
  ```
  
  ```
  Date: 04/24/2004 at 20:05:50
  From: Doctor Justin
  Subject: Re: SAT rectangle
  
  Hi Max,
  
  When working on the SAT, never make assumptions.  The test makers
  _want_ you to make assumptions in an effort to trick you!
  
  Try drawing rectangle ABCD and point E at the midpoint of side BC.
  Now draw a line parallel to the bases from point E to side AD,
  intersecting AD at point Q.  Next, draw a line from point Q to point
  B and another from point D to point E.  We now have four congruent
  triangles--can you see why?
  
  The diagram shows that ABED contains 3 of the 4 triangles in ABCD.
  Therefore, 3/4 the area of ABCD is the area of ABED.  In other words,
  3/4*(area of ABCD) = 2/3.  Thus, (area of ABCD) = 8/9.
  
  Does that help?  If not, please write back.
  
  - Doctor Justin, The Math Forum
  http://mathforum.org/dr.math/
  ```
  Associated Topics:
  High School Triangles and Other Polygons
  
  Search the Dr. Math Library:
  
   Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words
  
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explanation: The document contains a math question and its corresponding answer. The question is about finding the area of a rectangle given the area of a specific quadrilateral within it. The answer provides a detailed explanation and solution to the problem.
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  ### SAT Rectangle Area Question
  
  ```Date: 04/23/2004 at 18:24:55
  From: Max
  Subject: SAT rectangle
  
  In rectangle ABCD, Point E is the midpoint of side BC.  If the area of
  quadrilateral ABED is 2/3, what is the area of rectangle ABCD?
  
  I drew the rectangle out, made 2/3 into a decimal of .66, figured the
  other part of the triangle is 1/3 but don't know where to go from
  there.
  
  ```
  
  ```
  Date: 04/24/2004 at 20:05:50
  From: Doctor Justin
  Subject: Re: SAT rectangle
  
  Hi Max,
  
  When working on the SAT, never make assumptions.  The test makers
  _want_ you to make assumptions in an effort to trick you!
  
  Try drawing rectangle ABCD and point E at the midpoint of side BC.
  Now draw a line parallel to the bases from point E to side AD,
  intersecting AD at point Q.  Next, draw a line from point Q to point
  B and another from point D to point E.  We now have four congruent
  triangles--can you see why?
  
  The diagram shows that ABED contains 3 of the 4 triangles in ABCD.
  Therefore, 3/4 the area of ABCD is the area of ABED.  In other words,
  3/4*(area of ABCD) = 2/3.  Thus, (area of ABCD) = 8/9.
  
  Does that help?  If not, please write back.
  
  - Doctor Justin, The Math Forum
  http://mathforum.org/dr.math/
  ```
  Associated Topics:
  High School Triangles and Other Polygons
  
  Search the Dr. Math Library:
  
   Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words
  
  Submit your own question to Dr. Math
  Math Forum Home || Math Library || Quick Reference || Math Forum Search
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding answer. The question is about finding the area of a rectangle given the area of a specific quadrilateral within it. The answer provides a detailed explanation and solution to the problem.
  
  Label: question-and-answer