document.write( "Question 696124: The width of a rectangle is nine less than the length. If the sides of the rectangle are all increased by two, the area is 70. Find the original dimensions. \r
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document.write( "In this I have the answers to it, 14 and 5, but I am confused on how to solve it if you could please help me, Thank you very much. \n" );
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Algebra.Com's Answer #428809 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! The width of a rectangle is nine less than the length. If the sides of the rectangle are all increased by two, the area is 70. Find the original dimensions. \r \n" ); document.write( "\n" ); document.write( "In this I have the answers to it, 14 and 5, but I am confused on how to solve it if you could please help me, Thank you very much.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the length = L \n" ); document.write( "Then width = L – 9 \n" ); document.write( "Increasing the length by 2 results in a new length of L + 2 \n" ); document.write( "Increasing the width by 2 results in a new width of L – 9 + 2, or L - 7 \n" ); document.write( "Therefore, (L + 2)(L – 7) = 70\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(L + 7)(L - 12) = 0 \n" ); document.write( "L = - 7 (ignore as measurement CAN neither be negative, nor 0)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L, or original length = 12 units \n" ); document.write( "Width = 12 – 9, or 3 units\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Original dimensions: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "14 and 5 are the new dimensions, after each side of the rectangle has been altered.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can do the check!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |