document.write( "Question 187106: A picture 10 inches by 19 inches is to be mounted on a piece of matboard so that there is an even amount of mat all around the picture. How wide will the border be if the area of the mounted picture is 400 square inches? \n" ); document.write( "
Algebra.Com's Answer #140275 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! (10+2x)(19+2x)=400 \n" ); document.write( "190+20x+38x+4x^2=400 \n" ); document.write( "4x^2+58x+190-400=0 \n" ); document.write( "4x^2+58x-210=0 \n" ); document.write( "(4x+70)(x-3)=0 \n" ); document.write( "x-3=0 \n" ); document.write( "x=3 in. is the ans. for the width of the border. \n" ); document.write( "Proof: \n" ); document.write( "(10+2*3)(19*283)=400 \n" ); document.write( "(10+6)(19+6)=400 \n" ); document.write( "16*25=400 \n" ); document.write( "400=400\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |