document.write( "Question 206360: Please help trying to set up the problems but i keep getting stuck.
\n" ); document.write( "This problem is not in the book. However she said change the numbers and it is a practice question from chapter 8.\r
\n" ); document.write( "\n" ); document.write( "Problem #1:The product of two positive numbers is 16. Determine the numbers if the larger is 4 times the smaller.\r
\n" ); document.write( "\n" ); document.write( "Problem #2: the length of a rectangle is 3 feet longer than ist width. Find the dimensions of the rectangle if its area is 28 square feet.
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Algebra.Com's Answer #155938 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
#1. Let n be the smaller number, then 4n is the larger number.
\n" ); document.write( "Their product is 16, so...
\n" ); document.write( "\"n%284n%29+=+16\"
\n" ); document.write( "\"4n%5E2+=+16\" Divide both sides by 4.
\n" ); document.write( "\"n%5E2+=+4\" Take the square root of both sides.
\n" ); document.write( "\"highlight%28n+=+2%29\" and \"highlight%284n+=+8%29\"
\n" ); document.write( "#2. Start with the formula for the area of a rectangle of length = L and width = W.
\n" ); document.write( "\"A+=+L%2AW\" Substitute \"L+=+W%2B3\" and \"A+=+28\"
\n" ); document.write( "\"28+=+%28W%2B3%29%28W%29\" Simplify.
\n" ); document.write( "\"28+=+W%5E2%2B3W\" Subtract 28 from both sides.
\n" ); document.write( "\"W%5E2%2B3W-28+=+0\" Factor this.
\n" ); document.write( "\"%28W-4%29%28W%2B7%29+=+0\" Apply the zero product rule.
\n" ); document.write( "\"W-4+=+0\" or \"W%2B7+=+0\" so that...
\n" ); document.write( "\"highlight%28W+=+4%29\" or \"W+=+-7\" Discard the negative solution as the width, W, can only be a positive value.
\n" ); document.write( "\"L+=+W%2B3\"
\n" ); document.write( "\"highlight%28L+=+7%29\"
\n" ); document.write( "The length is 7 feet and the width is 4 feet.
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