document.write( "Question 1067789: Victoria is making a box for her Valentine party at school. The rectangular base of a box has a perimeter of 2 feet. The base is twice as long as it is wide. The box is 5 inches tall. Victoria plans to cover the top and bottom with red and pink paper, which costs 5 cents per square inch. She then plans to cover the other 4 faces with white paper, which costs 1.5 cents per square inch. How much money will Victoria spend to cover the box with paper? Assume that there is no waste. \n" ); document.write( "
Algebra.Com's Answer #682956 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Victoria is making a box for her Valentine party at school. \n" ); document.write( " The rectangular base of a box has a perimeter of 2 feet. \n" ); document.write( " The base is twice as long as it is wide. The box is 5 inches tall. \n" ); document.write( " Victoria plans to cover the top and bottom with red and pink paper, which costs 5 cents per square inch. \n" ); document.write( " She then plans to cover the other 4 faces with white paper, which costs 1.5 cents per square inch. \n" ); document.write( " How much money will Victoria spend to cover the box with paper? Assume that there is no waste. \n" ); document.write( ": \n" ); document.write( "Change the perimeter of the base to inches, 24\" \n" ); document.write( "2L + 2w = 24 \n" ); document.write( "simplify divide by 2 \n" ); document.write( "L + w = 12 \n" ); document.write( "\"The base is twice as long as it is wide.\" \n" ); document.write( "L = 2w \n" ); document.write( "Find the dimensions of the base \n" ); document.write( "2w + w = 12 \n" ); document.write( "3w = 12 \n" ); document.write( "w = 12/3 \n" ); document.write( "w = 4\" wide, then 8\" long \n" ); document.write( "Find the area of the base, then the cost of the paper for top and bottom \n" ); document.write( "8 * 4 * .05 * 2 = $3.20 for top and bottom \n" ); document.write( ": \n" ); document.write( "Find the surface area of the sides, (5\" high) \n" ); document.write( "2(8*5) + 2(4*5) = 120 sq/in \n" ); document.write( "Find the cost of the sides \n" ); document.write( ".015 * 120 = $1.80 for the sides \n" ); document.write( ": \n" ); document.write( "Total cost of the box: 3.20 + 1.80 = $5.00 \n" ); document.write( " \n" ); document.write( " |