document.write( "Question 797137: the length of a rectangle is thrice width. if the length is increase by 8 cm and width is increase by 2 cm, the perimeter of the new rectangle is 56 cm. find the dimension of the original rectangle. \n" ); document.write( "
Algebra.Com's Answer #481675 by mohanraj04(12)![]() ![]() ![]() You can put this solution on YOUR website! ans: \n" ); document.write( " given that the length(L) of rectangle is thrice width(W) \n" ); document.write( " \n" ); document.write( "therefore, L=3W\r \n" ); document.write( "\n" ); document.write( "when the length is increased by 8cm and width is increased by 2 cm, then the perimeter of the rectangle is 56cm\r \n" ); document.write( "\n" ); document.write( "therefore, 2[(L+8)+(W+2)]=56 \n" ); document.write( " 2[(3W+8)+(W+2)]=56 [since, L=3W ] \n" ); document.write( " 2[4W+10]=56 \n" ); document.write( " 4W+10=56/2 \n" ); document.write( " 4W+10=28 \n" ); document.write( " 4W=28-10 \n" ); document.write( " 4W=18 \n" ); document.write( " W=18/4 \n" ); document.write( " W=4.5cm\r \n" ); document.write( "\n" ); document.write( "by L=3W \n" ); document.write( " L=3*4.5 [ since, W=4.5cm ] \n" ); document.write( " L=13.5cm \n" ); document.write( "there fore the dimensions of the new rectangle are L=13.5cm & W=4.5cm \n" ); document.write( " |