document.write( "Question 101564: Solve.
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document.write( "The length of a rectangular room is 4 feet longer than twice the width. If the room's perimeter is 140 feet, what are the room's dimensions?
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Algebra.Com's Answer #73929 by doukungfoo(195) You can put this solution on YOUR website! The perimeter of a rectangle is equal to the sum of all its sides. \n" ); document.write( "A rectangle has two sides that represent its length and two sides that represent its width. \n" ); document.write( "So with this knowledge about a rectangle we can write a formula: \n" ); document.write( "2(Length) + 2(Width) = Perimeter \n" ); document.write( "Thats 2 times the length plus 2 times the widthe equals perimeter. \n" ); document.write( "Now we are told that the length of a rectangular room is 4 ft longer than twice its width. \n" ); document.write( "Lets set width equal to x. \n" ); document.write( "Width = x \n" ); document.write( "Now define the length in terms of x \n" ); document.write( "Length = 2x + 4 \n" ); document.write( "We are given the perimeter is 140 feet. \n" ); document.write( "Now we can plug all this information into our formula and solve for x: \n" ); document.write( "2(Length) + 2(Width) = Perimeter \n" ); document.write( "2(2x+4) + 2(x) = 140 \n" ); document.write( "4x + 8 + 2x = 140 \n" ); document.write( "6x + 8 = 140 \n" ); document.write( "6x = 132 \n" ); document.write( "x = 22 \n" ); document.write( "Answer: the width is 22 ft \n" ); document.write( "Now find the length \n" ); document.write( "Length = 2x + 4 \n" ); document.write( "Length = 2(22) + 4 \n" ); document.write( "Length = 44 + 4 \n" ); document.write( "Length = 48 \n" ); document.write( "Answer: the length is 48 ft \n" ); document.write( "Check answers: \n" ); document.write( "2(Length) + 2(Width) = Perimeter \n" ); document.write( "2(48) + 2(22) = 140 \n" ); document.write( "96 + 44 =140 \n" ); document.write( "140 = 140 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |