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 #216825 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
I'm not familiar with the 5-step process, but I
\n" ); document.write( "can show you how I'd do it
\n" ); document.write( "Let \"x\" = the width of the border
\n" ); document.write( "The area of the garden is \"6%2A15+=+90\" yd2
\n" ); document.write( "The dimensions of the garden + border are:
\n" ); document.write( "\"6+%2B+2x\" by \"15+%2B+2x\"
\n" ); document.write( "The area of the garden + border is
\n" ); document.write( "\"A+=+%286+%2B+2x%29%2A%2815+%2B+2x%29\"
\n" ); document.write( "The area of the garden is \"6%2A15+=+90\" yd2
\n" ); document.write( "The area of the border is \"100\" yd2
\n" ); document.write( "\"A+=+190\"
\n" ); document.write( "\"190+=+%286+%2B+2x%29%2A%2815+%2B+2x%29\"
\n" ); document.write( "\"190+=+90+%2B+30x+%2B+12x+%2B+4x%5E2\"
\n" ); document.write( "\"4x%5E2+%2B+42x+-+100+=+0\"
\n" ); document.write( "Solve using quadratic formula
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"a+=+4\"
\n" ); document.write( "\"b+=+42\"
\n" ); document.write( "\"c+=+-100\"
\n" ); document.write( "\"x+=+%28-42+%2B-+sqrt%28+42%5E2-4%2A4%2A%28-100%29+%29%29%2F%282%2A4%29+\"
\n" ); document.write( "\"x+=+%28-42+%2B-+sqrt%28+1764+%2B+1600+%29%29%2F8+\"
\n" ); document.write( "\"x+=+%28-42+%2B-+sqrt%28+3364+%29%29%2F8+\"
\n" ); document.write( "\"x+=+%28-42+%2B+58%29%2F8\" (there's another solution, but it's negative)
\n" ); document.write( "\"x+=+2\"
\n" ); document.write( "The border around the garden is 2 yds wide
\n" ); document.write( "check:
\n" ); document.write( "\"190+=+%286+%2B+2x%29%2A%2815+%2B+2x%29\"
\n" ); document.write( "\"190+=+%286+%2B+4%29%2A%2815+%2B+4%29\"
\n" ); document.write( "\"190+=+10%2A19\"
\n" ); document.write( "\"190+=+190\"
\n" ); document.write( "OK
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