document.write( "Question 202763: Can you explain how I solve this problem
\n" ); document.write( "So far I know L=w+4
\n" ); document.write( "A photo is four inches longer than it is wide. A 3-inch border is placed around the photo making the total area of the photo and border 165 square inches. what are the dimensions of the photo? Can you please help me solve involving applications of polyinomials?: A photo is four inches longer than it is wide. A 3-inch border is placed around the photo making the total area of the photo and border 165 square inches. what are the dimensions of the photo?
\n" ); document.write( "

Algebra.Com's Answer #152936 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
a 3 inch border adds 6 inches to the length and the width
\n" ); document.write( "area is length times width\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "your first equation is fine ___ L = w + 4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the 2nd equation ___ (L + 6)(w + 6) = 165\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "substituting ___ (w + 4 + 6)(w + 6) = 165 ___ (w + 10)(w + 6) = 165\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "expanding ___ w^2 + 16w + 60 = 165 ___ w^2 + 16w - 105 = 0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "factoring ___ (w + 21)(w - 5) = 0 ___ so, w = 5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "substituting ___ L = 5 + 4 ___ L = 9
\n" ); document.write( "
\n" );