document.write( "Question 226598: A rectangle has a perimeter of 14 feet. Which could not be its area?
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document.write( "3.5 sq ft
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document.write( "6 sq ft
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document.write( "10 sq ft
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document.write( "12 sq ft \n" );
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Algebra.Com's Answer #168698 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "Any of the given values could be the area only knowing that the perimeter is 14 feet. The maximum area for a rectangle of a given perimeter is when the rectangle is a square, that is when the measure of one side is one-fourth of the perimeter. In the case of a rectangle with a 14 ft perimeter, that square would measure 3.5 feet on a side. 3.5 squared = 12.25 square feet -- larger than the largest value on your list. The lower limit for the area is zero. No matter how small you make one of the sides, you can always find a smaller value that is not zero. But the smaller you make one side, the smaller, and therefore closer to zero, will be the area. Hence the area of a rectangle with a 14 foot perimeter is in the interval \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |