document.write( "Question 254172: what rectangle has a perimeter of 30 units and an area of 50 units squared? \n" ); document.write( "
Algebra.Com's Answer #186474 by drk(1908)\"\" \"About 
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Perimeter is 2l + 2w
\n" ); document.write( "area is lw
\n" ); document.write( "From this ,we have
\n" ); document.write( "(i) 2l+2w = 30
\n" ); document.write( "(ii) lw = 50
\n" ); document.write( "From (i) we get
\n" ); document.write( "(ii) l + w = 15
\n" ); document.write( "Solve for l to get
\n" ); document.write( "(iv) l = 15-w.
\n" ); document.write( "Substitute (iv) into (ii) to get
\n" ); document.write( "(v) (15-w)(w) = 50
\n" ); document.write( "Now,
\n" ); document.write( "-w^2 + 15w = 50
\n" ); document.write( "and
\n" ); document.write( "w^2 - 15w + 50 = 0
\n" ); document.write( "(w-10)(w-5) = 0
\n" ); document.write( "So, W = 10 or W = 5.
\n" ); document.write( "If W = 10, L = 5
\n" ); document.write( "If W = 5, L =10 \n" ); document.write( "
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