document.write( "Question 1192772: A gymnasium floor is 50 ft. by 84 ft. A rectangular basketball court will be painted in
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document.write( "the center of the floor leaving an out-of-bounds region of uniform width around the
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document.write( "edge of the court. The court will cover 58% of the floor. How wide will the out-of-
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document.write( "bounds region be? \n" );
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Algebra.Com's Answer #824675 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "With the percentage of 58%, it is not likely that the width will be a \"nice\" number. So we very probably won't get an exact answer without a calculator. \n" ); document.write( "So the only thing to learn from this problem is how to set the problem up for solving. \n" ); document.write( "Let the uniform width of the out-of-bounds area be x; then the dimensions of the court are 84-2x by 50-2x. \n" ); document.write( "The area of the court is to be 58% = 0.58 of the area of the floor: \n" ); document.write( " \n" ); document.write( "Graph the two expressions on a graphing calculator to find that the width of the out-of-bounds area is approximately 7.4 feet. \n" ); document.write( " \n" ); document.write( " |