document.write( "Question 1049064: The lengths of the sides of a triangle are consecutive even integers. A rectangle whose dimensions are the same as the longer of the two sides of the triangle has a perimeter that is 1.5 times that of the triangle. What are the dimensions of the rectangle? \n" ); document.write( "

Algebra.Com's Answer #664627 by MathTherapy(10551) $\"\"$ $\"About$

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\n" ); document.write( "The lengths of the sides of a triangle are consecutive even integers. A rectangle whose dimensions are the same as the longer of the two sides of the triangle has a perimeter that is 1.5 times that of the triangle. What are the dimensions of the rectangle?
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A triangles DOES NOT have 2 sides. Why would you say this: \"A rectangle whose dimensions are the same as the longer of the two sides of 
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document.write( "the triangle?\" If what you actually mean is that the rectangle's dimensions are the same as the 2 LONGER sides of the triangle, then read on. \r
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document.write( "Let the smallest side of the triangle be S
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document.write( "Then middle and longest sides are: S + 2, and S + 4, respectively
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document.write( "Therefore, dimensions of rectangle are: S + 2, and S + 4
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document.write( "Perimeter of rectangle: 2(S + 2 + S + 4), or 2(2S + 6), or 4S + 12
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document.write( "Perimeter of triangle: S + S + 2 + S + 4, or 3S + 6
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document.write( "We then get: 4S + 12 = 1.5(3S + 6)
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document.write( "4S + 12 = 4.5S + 9
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document.write( "4S - 4.5S = 9 - 12
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document.write( "- .5S = - 3
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document.write( "S, or smallest side of triangle = , or 6 units
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document.write( "Dimensions of rectangle: , and  \n" );
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