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)\"\" \"About 
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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
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