document.write( "Question 122569: What is the solution to Tambria's property has the shape of a trapezoid with the dimensions shown. If the perimeter of the property is 3,279 feet,what is the value of x? x+27 x+74 x+274 x \n" ); document.write( "
Algebra.Com's Answer #89982 by solver91311(24713)\"\" \"About 
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\n" ); document.write( "Discussion
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\n" ); document.write( "The perimeter of a general trapezoid is simply the sum of the 4 sides.\r
\n" ); document.write( "\n" ); document.write( "\"P%5BT%5D=s%5B1%5D%2Bs%5B2%5D%2Bs%5B3%5D%2Bs%5B4%5D\"\r
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\n" ); document.write( "Solution
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\n" ); document.write( "You are given expressions for the 4 sides:
\n" ); document.write( "\"s%5B1%5D=x%2B27\"
\n" ); document.write( "\"s%5B2%5D=x%2B74\"
\n" ); document.write( "\"s%5B3%5D=x%2B274\"
\n" ); document.write( "\"s%5B4%5D=x\"\r
\n" ); document.write( "\n" ); document.write( "And you are given the perimeter, \"P%5BT%5D=3279\"\r
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\n" ); document.write( "\n" ); document.write( "Although the problem doesn't state, you must assume that the constant values
\n" ); document.write( "in the expressions for three of the sides are in feet since the perimeter is
\n" ); document.write( "given in feet. Without this assumption, the problem cannot be solved as
\n" ); document.write( "stated.\r
\n" ); document.write( "\n" ); document.write( "Combining the given information into the formula for the perimeter we have:
\n" ); document.write( "\"%28x%2B27%29%2B%28x%2B74%29%2B%28x%2B274%29%2Bx=3279\"\r
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\n" ); document.write( "\n" ); document.write( "Combining like terms we have:
\n" ); document.write( "\"4x+%2B+375=3279\"\r
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\n" ); document.write( "\n" ); document.write( "Add -375 to both sides:
\n" ); document.write( "\"4x=2904\"\r
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\n" ); document.write( "\n" ); document.write( "And divide by 4:
\n" ); document.write( "\"x=726\"\r
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\n" ); document.write( "Check Answer
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\n" ); document.write( "\"s%5B1%5D=726%2B27=753\"
\n" ); document.write( "\"s%5B2%5D=726%2B74=800\"
\n" ); document.write( "\"s%5B3%5D=726%2B274=1000\"
\n" ); document.write( "\"s%5B4%5D=726\"\r
\n" ); document.write( "\n" ); document.write( "and
\n" ); document.write( "\"753%2B800%2B1000%2B726=3279\": Answer checks.
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