document.write( "Question 1107891: A rectangle is three times as long as it is wide and has the same perimeter as a square whose area is 100 square feet larger than that of the rectangle. What are the dimensions of both the rectangle and the square? \n" ); document.write( "
Algebra.Com's Answer #722938 by josgarithmetic(39617)\"\" \"About 
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\n" ); document.write( "A rectangle is three times as long as it is wide and has the same perimeter as a square whose area is 100 square feet larger than that of the rectangle. What are the dimensions of both the rectangle and the square?
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\n" ); document.write( "\n" ); document.write( "RECTANGLE
\n" ); document.write( "Dimensions w for width and 3w for length
\n" ); document.write( "Perimeter Expression: \"6w%2B2w=8w\"
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\n" ); document.write( "Area Expression: \"3w%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "The SQUARE
\n" ); document.write( "Side Length x
\n" ); document.write( "Perimeter: 4x
\n" ); document.write( "Area: x^2
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\n" ); document.write( "Translate the description: whose area is 100 square feet larger than that of the rectangle:
\n" ); document.write( "\"x%5E2=3w%5E2%2B100\"
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\n" ); document.write( "\n" ); document.write( "Also symbolize the first part, Rectangle has the same perimeter as a square whose area :
\n" ); document.write( "\"8w=4x\"\r
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\n" ); document.write( "\n" ); document.write( "The system of equations: \"system%28x%5E2=3w%5E2%2B100%2C8w=4x%29\", and should be solvable...,
\n" ); document.write( "Note, \"2w=x\" can be a good substitution to use as first step.\r
\n" ); document.write( "\n" ); document.write( "\"highlight_green%28%282w%29%5E2=3w%5E2%2B100%29\"\r
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