document.write( "Question 1173187: The length of the batter's box on a softball field is 1 ft more than twice the width. The area of the batter's box is
\n" ); document.write( "78 ft2
\n" ); document.write( ". Find the length and width of the rectangular batter's box.
\n" ); document.write( "

Algebra.Com's Answer #798361 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( " .
\n" ); document.write( "The length of the batter's box on a softball field is 1ft more than twice the width (x).
\n" ); document.write( "The area of the pool is 78 ft^2. |Note the use of '' ^ ''
\n" ); document.write( "w is x
\n" ); document.write( "L is (2x+1)
\n" ); document.write( "A = Lw
\n" ); document.write( "78ft^2 = (2x + 1)(x)
\n" ); document.write( "2x^2 + x - 78 = 0
\n" ); document.write( "Solving using the Pythagorean Theorem
\n" ); document.write( " \"x+=+%28-1+%2B-+sqrt%28+1%2B624%29%29%2F%284%29+\" (tossing out negative solution for length)
\n" ); document.write( "\"x+=%28+-1+%2B+sqrt%28625%29%29%2F4+=+%28-1+%2B+25%29%2F4+=+24%2F4+=+6\"
\n" ); document.write( "x = 6ft the width of the batter's box
\n" ); document.write( "L = 2x +x = 13ft
\n" ); document.write( "Checking our Answer
\n" ); document.write( "6ft*13ft =78ft^2
\n" ); document.write( "Wish You the Best in your Studies. \n" ); document.write( "
\n" );