document.write( "Question 665644: The perimeter of a rectangle is 114m, and the area of the rectangle is 56m^2. Find the dimension of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #413980 by ReadingBoosters(3246)\"\" \"About 
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Given
\n" ); document.write( "p = 114 = 2l + 2w
\n" ); document.write( "a = 56 = (l)(w), which is the same as l = \"56%2Fw\"
\n" ); document.write( "...\r
\n" ); document.write( "\n" ); document.write( "Substitute the second equation into the first
\n" ); document.write( "2\"56%2Fw\" + 2w = 114
\n" ); document.write( "\"112%2Fw\" + 2w = 114
\n" ); document.write( "Multiply the entire equation by w
\n" ); document.write( "112 + 2\"w%5E2\" = 114w
\n" ); document.write( "2\"w%5E2\" - 114w + 112 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(2w-112)(w-1)
\n" ); document.write( "2w-112=0, so w = 56
\n" ); document.write( "w-1=0, so w=1
\n" ); document.write( "...
\n" ); document.write( "Dimensions are \"highlight%2856%29\"m by \"highlight%281%29\"m
\n" ); document.write( "...
\n" ); document.write( "Check \"cartoon%28%0D%0Aa+=+%2856%29%281%29%2C%0D%0Aa+=+56%29\"
\n" ); document.write( "\"cartoon%28%0D%0Ap+=+2%281%29+%2B+2%2856%29%2C%0D%0Ap+=+2+%2B+112%2C%0D%0Ap+=+114%29\"
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\n" ); document.write( "Delighted to help.
\n" ); document.write( "-Reading Boosters
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