document.write( "Question 730996: The diagonal of a rectangle is four times the width. Simplify an expression for the length in terms of the width. \n" ); document.write( "

Algebra.Com's Answer #446960 by fcabanski(1391) $\"\"$ $\"About$

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d=4w and width = w.

\n" ); document.write( "The Pythagorean theorem describes the relationship between the two legs ( a and b) of a right triangle and the hypotenuse (c). In a rectangle, the length and width are the legs, while the diagonal is the hypotenuse.

\n" ); document.write( "Pythagorean Theorem: $\"a%5E2+%2B+b%5E2+=+c%5E2\"$

\n" ); document.write( "General Rectangle: $\"l%5E2+%2B+w%5E2+=+d%5E2\"$

\n" ); document.write( "This specific rectangle with d = 4w: $\"l%5E2+%2B+w%5E2+=+%284w%29%5E2+=+16w%5E2\"$

\n" ); document.write( "Solve for l: $\"l%5E2+=+16w%5E2+-+w%5E2=+15w%5E2\"$

\n" ); document.write( " $\"l=sqrt%2815w%5E2%29=w%2Asqrt%2815%29\"$
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