document.write( "Question 250718: a Reactangle is twice as long as it is wide. If its length and width are both dimentions are increased by 4 m, its area is increased by 88m^2. Make a sketch and find the original dimentions of the rectangle \n" ); document.write( "
Algebra.Com's Answer #184777 by drk(1908)\"\" \"About 
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First rectangle.
\n" ); document.write( "a Rectangle is twice as long as it is wide translates to
\n" ); document.write( "(i) L = 2W
\n" ); document.write( "If its length and width are both dimentions are increased by 4 m is translated to
\n" ); document.write( "L+4, W + 4.
\n" ); document.write( "its area is increased by 88m^2 means that new area - original area = 88m^2.
\n" ); document.write( "--
\n" ); document.write( "original area from (i)
\n" ); document.write( "A = LW = (2W)(W) = 2W^2
\n" ); document.write( "--
\n" ); document.write( "new area after + 4 to both L and W.
\n" ); document.write( "A = LW = (2W+4)(W+4) = 2W^2 + 12W + 16.
\n" ); document.write( "--
\n" ); document.write( "new area - old area = 88 is
\n" ); document.write( "2W^2 + 12W + 16 - 2W^2 = 88
\n" ); document.write( "12W + 16 = 88
\n" ); document.write( "12W = 72
\n" ); document.write( "W = 6
\n" ); document.write( "L = 12.\r
\n" ); document.write( "\n" ); document.write( "I am hoping from this you can make the sketch.
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