document.write( "Question 1004245: The perimeter of a rectangle is 24 cms. If the length is increased by 4 and the width is decreased by 2, the area is decreased by 2 sq. cms. What are the dimensions of the original rectangle?
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Algebra.Com's Answer #620754 by jkc52(5)![]() ![]() ![]() You can put this solution on YOUR website! let the length and width of the original rectangle be l and b cm. \n" ); document.write( "given that the perimeter of the rectangle is 24 cm \n" ); document.write( "therefore 2*(l+b)=24 \n" ); document.write( "or l +b =12........................(1) \n" ); document.write( "the area of this rectangle a1=l*b \n" ); document.write( "as per the second condition (l+4)*(b-2)=a1-2 \n" ); document.write( "therefore \n" ); document.write( "-2*l+4*b+l*b-8=a1-2 \n" ); document.write( "or l-2*b=-3.......................(2)\r \n" ); document.write( "\n" ); document.write( "therefore solving 1 and 2 l=7 and b =5 cm \n" ); document.write( " |