document.write( "Question 430114: Hi there!
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document.write( "I have a rectangle with an area of 1150 units. What is the height and width of this rectangle if the height and width are only whole numbers?
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document.write( "Please note that this rectangle is as close to a square as possible (the only reason it is not a perfect square is because the square root of 1150 is not a whole number)
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document.write( "I have tried to find the answer to this by taking the square root of 1150 and multiplying integers close to it together (e.g. 34*34, 34*34, 34*33, 35*33 etc) but still come up with nothing. If you could also show me a way to solve this kind of problem I would be very grateful, as I have a few other rectangle problems like this I need solving.\r
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document.write( "Thanks so much! \n" );
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Algebra.Com's Answer #298697 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! I have a rectangle with an area of 1150 units. What is the height and width of this rectangle if the height and width are only whole numbers? \n" ); document.write( "Please note that this rectangle is as close to a square as possible (the only reason it is not a perfect square is because the square root of 1150 is not a whole number) \n" ); document.write( "---- \n" ); document.write( "The prime factored form of 1150 = 2*5^2*23 \n" ); document.write( "----- \n" ); document.write( "The closest you can come to a square using whole numbers \n" ); document.write( "is 23*2(25) = = 46*25 \n" ); document.write( "So one dimension is 46; the other is 25 \n" ); document.write( "The alternative answer would be 2*25 (23) \n" ); document.write( "giving you dimensions 50 and 23. \n" ); document.write( "--- \n" ); document.write( "The 46*25 is closer to a square than 50*23 \n" ); document.write( " \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |