document.write( "Question 416861: Picture of a rectangle that represents a floor that is 20 x 15. Another rectangle inside that one representing an area rug. The rug and the floor are similar rectangles with perimeters in the ratio of 5 to 3. What is the area of the rug?\r
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Algebra.Com's Answer #291957 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "perimeters in the ratio of 5 to 3
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document.write( "floor that is 20 x 15: P =70
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document.write( "Let x represent the P of the rug
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document.write( "         |Cross Multiplying to solve for x
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document.write( "   5x = 210
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document.write( "    x = 42, the perimeter of the rug. (OR 21 the sum of its length and width)
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document.write( "The rug and the floor are similar rectangles
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document.write( "    |Cross Multiplying to solve for x
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document.write( "   20x = 15*(21-x)
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document.write( "   35x = 15*21
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document.write( "     x = 15*21/35
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document.write( "     x = 9   the rug is 12 x 9.  It's area is 108 
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document.write( "CHECKING our Answer***
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document.write( " 20/15 = 12/9 = 4/3  \n" );
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