document.write( "Question 156649: the perimeter of a rectangle is 60 inches and the length is 4 inches longer than the width. Find the dimensions of the triangle. \n" ); document.write( "
Algebra.Com's Answer #115458 by Electrified_Levi(103)\"\" \"About 
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Hi, Hope I can help,
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\n" ); document.write( "the perimeter of a rectangle is 60 inches and the length is 4 inches longer than the width. Find the dimensions of the triangle.(I think you mean \"Find the dimensions of the rectangle)
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\n" ); document.write( "The perimeter is all the sides added together, in this case there are 4 sides
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\n" ); document.write( "We need to assign variables to the length and width .
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\n" ); document.write( "the length is 4 inches longer than the width. ( we can say that the width is \"x\" ), if the length is 4 inches longer than the width, the length = \"x+4\"
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\n" ); document.write( "Length = \"x+4\"
\n" ); document.write( "Width = \"x\"
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\n" ); document.write( "Our Perimeter = 60, Perimeter of Rectangle = \"+2%28Length%29+%2B+2%28Width%29+\" = \"+2%28L%29+%2B+2%28W%29+\", we can replace \"L\" and \"W\" with the length and width variables
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\n" ); document.write( "(since we already have our perimeter, \"60\", we can say \"+2%28L%29+%2B+2%28W%29+=+60+\" )
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\n" ); document.write( "Let's replace \"L\" with \"x+4\", \"W\" with \"x\",(since we already have our perimeter, \"60\", we can say \"+2%28L%29+%2B+2%28W%29+=+60+\"
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\n" ); document.write( "\"+2%28L%29+%2B+2%28W%29+=+60+\" = \"+2%28x%2B4%29+%2B+2%28x%29+=+60+\"
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\n" ); document.write( "We will use distribution
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\n" ); document.write( "\"+2%28x%2B4%29+%2B+2%28x%29+=+60+\" =
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\n" ); document.write( "\"+2x+%2B+8+%2B+2x+=+60+\"
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\n" ); document.write( "Now let us rearrange the numbers
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\n" ); document.write( "\"+2x+%2B+8+%2B+2x+=+60+\" = \"+2x+%2B+2x+%2B+8+=+60+\"
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\n" ); document.write( "We will now add like terms \"+cartoon+%28+highlight%282x%29+%2B+highlight%282x%29+%2B+8+=+60%2C+4x+%2B+8+=+60%29+\"
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\n" ); document.write( "\"+4x+%2B+8+=+60+\"
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\n" ); document.write( "Now lets move the \"8\" to the right side
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\n" ); document.write( "\"+cartoon+%28+4x+%2B+8+=+60%2C+4x+%2B+8+-8+=+60+-8%2C+4x+=+60-8%2C+4x+=+52%29+\"
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\n" ); document.write( "\"+4x+=+52+\"
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\n" ); document.write( "Now lets divide each side by \"4\" to find \"x\"
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\n" ); document.write( "\"+x+=+13+\"
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\n" ); document.write( "Just replace \"x\" with 13 in our length and width variables
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\n" ); document.write( "Length = \"x+4\" = \"13+4\" = \"17\"
\n" ); document.write( "Width = \"x\" = \"13\"
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\n" ); document.write( "Length = \"17\"
\n" ); document.write( "Width = \"13\"
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\n" ); document.write( "We can check by replacing \"L\"(Length) with \"17\", \"W\"(Width) with \"13\" in our equation, or by replacing \"x\" with \"13\" in one of the other equations
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\n" ); document.write( "\"+2%28L%29+%2B+2%28W%29+=+60+\" = \"+2%2817%29+%2B+2%2813%29+=+60+\" = \"+34+%2B+26+=+60+\" = \"+60+=+60+\" (True)
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\n" ); document.write( "Or we can check this way, by replacing \"x\" with \"13\"
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\n" ); document.write( "\"+2%28x%2B4%29+%2B+2%28x%29+=+60+\" = \"+2%2813%2B4%29+%2B+2%2813%29+=+60+\" = \"+2%2817%29+%2B+2%2813%29+=+60+\" = \"+2%2817%29+%2B+2%2813%29+=+60+\" = \"+34+%2B+26+=+60+\" = \"+60+=+60+\"
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\n" ); document.write( "the length(17) is 4 inches longer than the width(13) \"True\"
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\n" ); document.write( "Length = \"17 inches\"
\n" ); document.write( "Width = \"13 inches\"
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\n" ); document.write( "Hope I helped, Levi
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