document.write( "Question 18686: A rectangular is 8 feetlong 6 feet wide. if each side increased by the same
\n" ); document.write( "amount,x,the area ofthe new rectangle is 120 square feet. find length and width of the new rectangle
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Algebra.Com's Answer #8949 by Earlsdon(6294)\"\" \"About 
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Start with the formula for the area of a rectangle:
\n" ); document.write( "\"A+=+LW\"
\n" ); document.write( "The new length is (8+x) ft. and the new width is (6+x) ft. The new area is:\r
\n" ); document.write( "\n" ); document.write( "\"A+=+%288%2Bx%29%286%2Bx%29\" = 120 ft^2\r
\n" ); document.write( "\n" ); document.write( "\"%288%2Bx%29%286%2Bx%29+=+120\" Perform the indicated multiplication.
\n" ); document.write( "\"48+%2B+14x+%2B+x%5E2+=+120\" Rewite in standard form.
\n" ); document.write( "\"x%5E2+%2B+14x+-+72+=+0\"Solve by factoring.
\n" ); document.write( "\"%28x+-+4%29%28x+%2B+18%29+=+0\" Apply the zero products principle.
\n" ); document.write( "\"x+-+4+=+0\" and/or \"x+%2B+18+=+0\"\r
\n" ); document.write( "\n" ); document.write( "If \"x+-+4+=+0\", then \"x+=+4\"
\n" ); document.write( "If \"x+%2B+18+=+0\", then \"x+=+-18\" Discard this solution as not meaningful because the new length and width cannot be negative.\r
\n" ); document.write( "\n" ); document.write( "The new length is: \"8+%2B+4+=+12\" ft.
\n" ); document.write( "The new width is: \"6+%2B+4+=+10\" ft.\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "The new area is 120 ft^2\r
\n" ); document.write( "\n" ); document.write( "\"A+=+%2812%29%2810%29\" = 120 ft.^2
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