document.write( "Question 128543: I am stumped on two problems. Any help would be greatly apprecited.
\n" ); document.write( "1. An open-top box will be made from a square piece of cardboard of length 26-inch by cutting 2-inch squares from the corners and folding up the sides. Find the volume of the box.\r
\n" ); document.write( "\n" ); document.write( "2. A ladder is leaning against a wall. The distance from the bottom of the ladder to the wall is 3 feet less than the length of the ladder. Find the length of the ladder, if the distance of its topto the ground is 4 feet less than the length of the ladder. \n" ); document.write( "
Algebra.Com's Answer #94066 by stanbon(75887)\"\" \"About 
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1. An open-top box will be made from a square piece of cardboard of length 26-inch by cutting 2-inch squares from the corners and folding up the sides. Find the volume of the box.
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\n" ); document.write( "Draw the picture including the 2\" squares you cut out of each corner.
\n" ); document.write( "Label the remaining dimensions.
\n" ); document.write( "The height will be the 2-inch piece that you fold up to make the box
\n" ); document.write( "The base will be a square that is 22\" by 22\" because you cut 2\" off each
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\n" ); document.write( "The volume will be 22*22*2 = 968 cubic inches
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\n" ); document.write( "2. A ladder is leaning against a wall. The distance from the bottom of the ladder to the wall is 3 feet less than the length of the ladder. Find the length of the ladder, if the distance of its top to the ground is 4 feet less than the length of the ladder\r
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\n" ); document.write( "Draw the picture; Let the ladder length be \"x\"; base = x-3; height = x-4
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\n" ); document.write( "Use Pythagoras to get:
\n" ); document.write( "x^2 = (x-3)^2 + (x-4)^2
\n" ); document.write( "x^2 = x^2-6x+9 + x^2-8x+16
\n" ); document.write( "x^2-14x+25=0
\n" ); document.write( "x = [14 +- sqrt(14^2-4*25)]/2
\n" ); document.write( "x = [14 +- sqrt(96)]/2
\n" ); document.write( "x = [14 +- 4sqrt(6)]/2
\n" ); document.write( "Positive answer:
\n" ); document.write( "x = (7 + 2sqrt(6)]
\n" ); document.write( "x = 11.899... ft
\n" ); document.write( "Cheers,
\n" ); document.write( "Staln H.
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