document.write( "Question 35675: the trapezoid has an area of 48cm squared. find the value of x the height is x+1 base is x+6 and base is x \n" ); document.write( "
Algebra.Com's Answer #21817 by Earlsdon(6294)\"\" \"About 
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Start with the formula for the area of a trapezoid:
\n" ); document.write( "\"A+=+%28%28b1+%2B+b2%29%2F2%29h\"
\n" ); document.write( "In your problem:
\n" ); document.write( "A = 48 sq.cm.
\n" ); document.write( "b1 = x+6
\n" ); document.write( "b2 = x
\n" ); document.write( "h = x+1\r
\n" ); document.write( "\n" ); document.write( "\"48+=+%28%28%28x%2B6%29%2B%28x%29%29%2F2%29%28x%2B1%29\" Simplify.
\n" ); document.write( "\"48+=+%28%282x%2B6%29%2F2%29%28x%2B1%29\" Factor a 2 in the top.
\n" ); document.write( "\"48+=+%282%28x%2B3%29%2F2%29%28x%2B1%29\" Cancel the 2s.
\n" ); document.write( "\"48+=+%28x%2B3%29%28x%2B1%29\" Perform the indicated multiplication.
\n" ); document.write( "\"48+=+x%5E2%2B4x%2B3\" Subtract 48 from both sides of the equation.
\n" ); document.write( "\"x%5E2%2B4x-45+=+0\" Solve for x by factoring.
\n" ); document.write( "\"%28x-5%29%28x%2B9%29+=+0\" Apply the zero products principle.
\n" ); document.write( "\"x-5+=+0\" and/or \"x%2B9+=+0\"
\n" ); document.write( "If \"x-5+=+0\" then \"x+=+5\" This is an acceptable solution as it is positive.
\n" ); document.write( "If \"x%2B9+=+0\" then \"x+=+-9\" This is not meaningful as the length of the base has to be a positive value.\r
\n" ); document.write( "\n" ); document.write( "Answer:
\n" ); document.write( "x = 5 cm.
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