document.write( "Question 255278: The length of a rectangle is x + 4
\n" ); document.write( "The width of a rectangle is x - 1
\n" ); document.write( "The perimeter is 46 cm\r
\n" ); document.write( "\n" ); document.write( "Calculate the length of the diagonal of the rectangle\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Please help?!
\n" ); document.write( "

Algebra.Com's Answer #187546 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
The length of a rectangle is x + 4
\n" ); document.write( "The width of a rectangle is x - 1
\n" ); document.write( "The perimeter is 46 cm
\n" ); document.write( "--
\n" ); document.write( "We can use th perimter formula as:
\n" ); document.write( "(i)\"P+=+2L+%2B+2W\"
\n" ); document.write( "replacing x + 4 for L, x - 1 for W, and 46 for P, we get
\n" ); document.write( "(ii) \"46+=+2%28x%2B4%29+%2B+2%28x-1%29\"
\n" ); document.write( "we solve for x as
\n" ); document.write( "(iii) \"46+=+2x+%2B+8+%2B+2x+-+2\"
\n" ); document.write( "(iv) \"46+=+4x+%2B+6\"
\n" ); document.write( "(v) \"40+=+4x\"
\n" ); document.write( "(vi) \"10+=+x\"
\n" ); document.write( "Now, the length = 14, and the width is 9.
\n" ); document.write( "--
\n" ); document.write( "Using the Pythagorean theorem:
\n" ); document.write( "\"a%5E2+%2B+b%5E2+%2B+c%5E2\"
\n" ); document.write( "we get
\n" ); document.write( "\"14%5E2+%2B+9%5E2+=+c%5E2\"
\n" ); document.write( "\"196+%2B+81+=+c%5E2\"
\n" ); document.write( "\"277+=+c%5E2\"
\n" ); document.write( "the diagonal, c, ~ 16.64
\n" ); document.write( "
\n" );