document.write( "Question 1036138: a rectangle has a width of x+9 and its width is x+7. Find the dimensions of the rectangle if its area is 143 square meters. \n" ); document.write( "
Algebra.Com's Answer #650749 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
The area of a rectangle is \"A+=+L%2AW\" where A is the area, L is the length and W is the width.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In this case, A = 143, L = x+7 and W = x+9. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's plug these expressions in. Then let's solve for x.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+L%2AW\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A+=+%28x%2B7%29%2A%28x%2B9%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"143+=+%28x%2B7%29%2A%28x%2B9%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"143+=+x%2A%28x%2B9%29%2B7%2A%28x%2B9%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"143+=+x%5E2%2B9x%2B7x%2B63\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"143+=+x%5E2%2B16x%2B63\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"143-143+=+x%5E2%2B16x%2B63-143\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B16x-80=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x-4%29%28x%2B20%29=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-4=0\" or \"x%2B20=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=4\" or \"x=-20\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The possible solutions are \"x=4\" or \"x=-20\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If \"x=4\", then\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "L = x+7 = 4+7 = 11\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "W = x+9 = 4+9 = 13\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So if x = 4, then the rectangle is 13 meters by 11 meters. Notice how 11*13 = 143\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If \"x+=+-20\", then\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "L = x+7 = -20+7 = -13\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "W = x+9 = -20+9 = -11\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "but having negative side lengths doesn't make much sense. So we ignore the solution x = -20\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The only practical solution is x = 4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "That leads to the dimensions of the rectangle being 13 meters by 11 meters
\n" ); document.write( "
\n" );