document.write( "Question 313989: A rectangular pool is 30 feet wide and 40 feet long. It is surrounded on all four sides by a wooden deck that is x feet wide. The total area enclosed within the perimeter of the deck is 3000ft^2. What is the width of the deck? \n" ); document.write( "
Algebra.Com's Answer #224490 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! (30+2x)(40+2x)=3,000 \n" ); document.write( "1,200+80x+60x+4x^2=3,000 \n" ); document.write( "4x^2+140x+1,200-3,000=0 \n" ); document.write( "4x^2+140x-1800=0 \n" ); document.write( "(2x-20)(2x+90)=0 \n" ); document.write( "2x-20=0 \n" ); document.write( "2x=20 \n" ); document.write( "x=20/2 \n" ); document.write( "x=10 ft. ans. for the width of the wooden deck. \n" ); document.write( "Proof: \n" ); document.write( "(30+2*10)(40+2*10)=3,000 \n" ); document.write( "(30+20)(40+20)=3,000 \n" ); document.write( "50*60= 3,000 \n" ); document.write( "3,000=3,000 \n" ); document.write( " |