document.write( "Question 663452: The length of a rectangle is 4 inches greater than twice its width. If the length and width are both increased by 2 in., its area is increased by 48in.^2 What is the width of the original rectangle? \n" ); document.write( "
Algebra.Com's Answer #412779 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! l = 2w + 4 \n" ); document.write( "(l+2)(w+2)=area+48 \n" ); document.write( "area = (l)(w) \n" ); document.write( "w(2w+4) = 2w^2 + 4w \n" ); document.write( "Using (l+2)(w+2)=area + 48 \n" ); document.write( "(2w+4+2)(w+2) = 2w^2 + 4w + 48 \n" ); document.write( "(2w+6)(w+2) = 2w^2 + 4w + 48 \n" ); document.write( "2w^2 + 4w + 6w + 12 = 2w^2 + 4w + 48 \n" ); document.write( "2w^2 + 10w + 12 = 2w^2 + 4w + 48 \n" ); document.write( "2w^2 - 2w^2 + 10w - 4w =48 - 12 \n" ); document.write( "6w = 36 \n" ); document.write( "width = 6 in. \n" ); document.write( "....................... \n" ); document.write( "Delighted to help. \n" ); document.write( "-Reading Boosters \n" ); document.write( "Wanting for others what we want for ourselves. \n" ); document.write( " |