document.write( "Question 1165287: Please Help me to solve this word problem\r
\n" ); document.write( "\n" ); document.write( "A vertical wall was built around a rectangular court to a certain height. The width of the adjacent side was 5 m. less than 6 times the height of the wall and the length of one side of the court was 2 m. less than 8 times the height of the wall. The floor area of the court was greater than the area of the inside face of the wall by 178m.\r
\n" ); document.write( "\n" ); document.write( "a.) Determine the length of the rectangular court.
\n" ); document.write( "b.) Determine the width of the rectangular court.
\n" ); document.write( "c. Determine the number of gallons needed to paint the inside portion of the wall only. Use 4 coatings and assume one gallon has a spreading capacity of 400 sq.ft of wall.\r
\n" ); document.write( "\n" ); document.write( "Thank you in advance
\n" ); document.write( "

Algebra.Com's Answer #789763 by Seutip(231)\"\" \"About 
You can put this solution on YOUR website!
Let
\n" ); document.write( "w be width
\n" ); document.write( "l be length
\n" ); document.write( "h be height\r
\n" ); document.write( "\n" ); document.write( "w=6h-5
\n" ); document.write( "l=8h-2\r
\n" ); document.write( "\n" ); document.write( "Floor area of court = l*w
\n" ); document.write( "Area of the inside face of the wall = 2l*h+2w*h\r
\n" ); document.write( "\n" ); document.write( "Equation: (l*w)-178=2l*h+2w*h\r
\n" ); document.write( "\n" ); document.write( "Find l and w,
\n" ); document.write( "(8h-2)(6h-5)-178=(2)(6h-5)(h)+(2)(8h-2)(h)
\n" ); document.write( "Solving this will give you
\n" ); document.write( "h=4m\r
\n" ); document.write( "\n" ); document.write( "w=19m
\n" ); document.write( "l=30m
\n" ); document.write( "Floor area of court = 570m^2
\n" ); document.write( "Area of the inside face of the wall =392m^2\r
\n" ); document.write( "\n" ); document.write( "1m =3.28ft
\n" ); document.write( "\"%28392m%5E2%29%283.28ft%2F1m%29%5E2\"
\n" ); document.write( "\"4217ft%5E2\"
\n" ); document.write( "4217*4 because 4 coatings then divide by 400
\n" ); document.write( "4217*4/400=42.17 gallons \r
\n" ); document.write( "\n" ); document.write( "Hope that helps!!!
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