document.write( "Question 1181359: The diagram show a square - shaped lawn with 6 m by 8 m pool built inside. \r
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document.write( "A) Find an equation expressing the area of the lawn in terms of the side length, x, of the shape.\r
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document.write( "B) State its domain and range. \n" );
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Algebra.Com's Answer #811249 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A) The lawn is a square with side length x (meters), with a pool 6m x 8m somewhere in the lawn. The area of lawn is the area of the square, minus the area of the pool. \n" ); document.write( "ANSWER: The equation for the area of lawn in square meters is \n" ); document.write( " \n" ); document.write( "The minimum value for x, the length of a side of the square, is the longer dimension of the pool. \n" ); document.write( "There is no maximum value for the side length of the square. \n" ); document.write( "ANSWER: The domain is [8,infinity) \n" ); document.write( "The minimum area of lawn is when the side length of the square is minimum -- that is, when x=8. The minimum area is then 8^2=64-48=16. \n" ); document.write( "There is no maximum for the area. \n" ); document.write( "ANSWER: The range is [16,infinity) \n" ); document.write( " \n" ); document.write( " |