document.write( "Question 464979: In rectangle ABCD, point E is the midpoint of the line segment BC. If the area of the quadrilateral ABED is 2/3, what is the area of rectangle ABCD?\r
\n" ); document.write( "\n" ); document.write( "The answer is 8/9, but I do not know how to get that answer. Can you help?
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Algebra.Com's Answer #318719 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
Quadrilateral ABED is actually a trapezoid.
\n" ); document.write( "Let h be the height of the rectangle, and l, its length.\r
\n" ); document.write( "\n" ); document.write( "Now trapezoid ABED has height h also. One of its parallel sides, BE, has length l/2 (since BE is half of BC). The other parallel side has length l. Hence the area is \r
\n" ); document.write( "\n" ); document.write( "\"A+=+%28h%2F2%29%28l+%2B+l%2F2%29+=+%28h%2F2%29%28%283l%29%2F2%29+=+%283hl%29%2F4+=+2%2F3\"\r
\n" ); document.write( "\n" ); document.write( "==> \"hl+=+8%2F9\", and hl gives exactly the area of the rectangle ABCD.
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