document.write( "Question 53268: I am very bad at understanding dimensions. Will someone help shed some light?
\n" ); document.write( "\"The length of a rectangle is 2 cm more than twice it's width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.\"\r
\n" ); document.write( "\n" ); document.write( "Thanks! \n" ); document.write( "
Algebra.Com's Answer #35516 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
If I was with you I'd draw a rectangle. It has four sides in which the opposite sides are of equal length. There are 2 lengths and 2 widths. When we find perimeters we simply add all the sides.
\n" ); document.write( "Perimeter=length+length+width+width
\n" ); document.write( "Let perimeter=P and length =L and width=W and we can find the formula for the perimeter of a rectangel:
\n" ); document.write( "P=L+L+W+W
\n" ); document.write( "P=2L+2W
\n" ); document.write( "In this case we were told that p=52.
\n" ); document.write( "We weren't told anything about the width so let W=x.
\n" ); document.write( "We were told that the length (L) is (=) 2 more than (+2) twice the width (2x). So let L=2x+2
\n" ); document.write( "Substitute the values into the formula P=2L+2W and you have:
\n" ); document.write( "52=2(2x+2)+2(x)
\n" ); document.write( "52=2(2x)+2(2)+2x
\n" ); document.write( "52=4x+4+2x
\n" ); document.write( "52=(4+2)x+4
\n" ); document.write( "52=6x+4
\n" ); document.write( "52-4=6x+4-4
\n" ); document.write( "48=6x
\n" ); document.write( "48/6=6x/6
\n" ); document.write( "8=x
\n" ); document.write( "So the width :x=8 cm
\n" ); document.write( "The length:2x+2=2(8)+2=16+2=18 cm \n" ); document.write( "
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