document.write( "Question 1072074: The perimeter of a rectangle is 50m. If the width were doubled and the length increased by 19, the perimeter would be 108m. What would the width of the rectangle. I need a formula please. \n" ); document.write( "
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\n" ); document.write( "The perimeter of a rectangle is 50m. If the width were doubled and the length increased by 19, the perimeter would be 108m. What would the width of the rectangle. I need a formula please.
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Let width and length be W and L, respectively
\n" ); document.write( "Twice length, plus twice width = Perimeter of rectangle, OR
\n" ); document.write( "2L + 2W = 50_____2(L + W) = 2(25)______L + W = 25______L = 25 - W
\n" ); document.write( "Doubling the width makes new width: 2W
\n" ); document.write( "Increasing length by 19 makes new length: L + 19, or 25 - W + 19, or 44 - W
\n" ); document.write( "We then get: 2(2W) + 2(44 - W) = 108
\n" ); document.write( "2(2W) + 2(44 - W) = 2(54)
\n" ); document.write( "2W + 44 - W = 54
\n" ); document.write( "2W - W = 54 - 44
\n" ); document.write( "W, or original width = \"highlight_green%28matrix%281%2C2%2C+10%2C+m%29%29\" \n" ); document.write( "
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