document.write( "Question 1078326: I have a rectangle dry erase board that's 48\" Wx 36\"L I need to fit
\n" ); document.write( "35 EQUAL SIZED squares inside it, SUCH THAT EACH SQUARE IS AS LARGE
\n" ); document.write( "AS POSSIBLE. I need to know the size of each square.
\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #692839 by Edwin McCravy(20055) $\"\"$ $\"About$

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I have a rectangle dry erase board that's 48\" Wx 36\"L I need to fit
\n" ); document.write( "35 EQUAL SIZED squares inside it, SUCH THAT EACH SQUARE IS AS LARGE
\n" ); document.write( "AS POSSIBLE. I need to know the size of each square.
\n" ); document.write( "Thank you
\n" ); document.write( "

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document.write( "I am quite sure the solution Fombitz posted above is NOT what you want.\r\n" );
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document.write( "Notice that I have added some words in capital letters to your\r\n" );
document.write( "problem above.  Let me know in the thank-you note form below if\r\n" );
document.write( "the words I added were not to be assumed.  If we did not make\r\n" );
document.write( "the assumption that the squares must be EQUAL in size and as \r\n" );
document.write( "LARGE AS POSSIBLE, then there would be more than one solution,\r\n" );
document.write( "in fact maybe infinitely many solutions.\r\n" );
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document.write( "We have to draw 5 squares along the shorter side of the\r\n" );
document.write( "whiteboard and 7 squares along the longer side to have 35\r\n" );
document.write( "squares, each as large as possible.\r\n" );
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document.write( "First we determine if we can use the entire shorter 36\" side of\r\n" );
document.write( "the board for the 5 squares.\r\n" );
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document.write( "Then each square would be 36÷5 = 7 1/5 inches on a side.\r\n" );
document.write( "But then we would have to fit 7 of those across the longer 48\r\n" );
document.write( "side.  But (7 1/5)×7 = 50 2/5\", which is too long for 7 squares\r\n" );
document.write( "to fit on the 48\" side. So we cannot use the entire shorter\r\n" );
document.write( "side for the 5 squares.\r\n" );
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document.write( "That means we must use the entire longer 48\" side for the\r\n" );
document.write( "7 squares. So to fit 7 squares across the longer 48\" side,\r\n" );
document.write( "each square must be 48÷7 = 48/7 = \".\r\n" );
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document.write( "That's the answer.  Each square would have sides of \r\n" );
document.write( " inches.  Below is how the whiteboard would look\r\n" );
document.write( "after drawing the 35 squares each \"×\".\r\n" );
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document.write( "Edwin

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