document.write( "Question 1111211: The length of the rectangle exceeds its breadth by 3 cm. If the length and breadth are each increased by 2 cm, then the area of new rectangle will be 70 sq. cm more than that of the given rectangle. Find the length and breadth of the given rectangle. \n" ); document.write( "

Algebra.Com's Answer #726212 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "One equation is \r\n" );
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document.write( "L - W = 3     (1)        (\"The length of the rectangle exceeds its breadth by 3 cm.\")\r\n" );
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document.write( "The second equation is \r\n" );
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document.write( "(L+2)*(W+2) - LW = 70,   (\"If the length and breadth are each increased by 2 cm, then the area of new rectangle . . . \")  \r\n" );
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document.write( "or, after simplifying\r\n" );
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document.write( "L + W = 33     (2) \r\n" );
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document.write( "So, you have the system of two equations in two unknowns (1),(2). By solving it,  you get\r\n" );
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document.write( "L = 18 cm,  W = 15 cm.\r\n" );
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document.write( "Check.  (18+2)*(15+2) - 18*15 = 70 sq cm.   ! Correct !\r\n" );
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\n" ); document.write( "To see other similar solved problems, see the lessons\r
\n" ); document.write( "\n" ); document.write( " - Problems on the area and the dimensions of a rectangle surrounded by a strip\r
\n" ); document.write( "\n" ); document.write( " - Problems on a circular pool and a walkway around it\r
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