document.write( "Question 302419: 14.Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
\n" ); document.write( "You are putting a stone border of uniform width around a rectangular garden that measures 6 yards by 15 yards. You only have enough stone to cover 100 square yards. How wide should the border be?
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Algebra.Com's Answer #216821 by london maths tutor(243) $\"\"$ $\"About$

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Let's the stone border width be x
\n" ); document.write( "The width including stone border = 6 + x + x = 6 + 2x
\n" ); document.write( "The length including stone boarder = 15 + x + x = 15 + 2x
\n" ); document.write( "Area of the garden = 6*15 = 90 yards^2
\n" ); document.write( "Area of the garden and stone border = (6+2x)*(15+2x)
\n" ); document.write( "The difference of the two area is 100 yards^2
\n" ); document.write( "Therefore:
\n" ); document.write( "[(6+2x)*(15+2x)] - 90 = 100
\n" ); document.write( "(90 + 12x + 30x + 4x^2) - 90 = 100
\n" ); document.write( "4x^2 + 42x - 100 = 0
\n" ); document.write( "2x^2 + 21x - 50 = 0
\n" ); document.write( "Using the formular : $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "where a = 2 , b = 21 and c = -50
\n" ); document.write( "x = 2 yard or - 12.5 yards(N/A)
\n" ); document.write( "Answer: The width of the path way is 2 yards. \n" ); document.write( "

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