Question

the area of a rectangle is 54x^9y^8 square yards if the length of the rectangle is 6x^3y^4 yards what expression represents the width of the rectangle in yards

Answer 1

The area of a rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting values we have:
 (54x ^ 9y ^ 8) = (w) * (6x ^ 3y ^ 4)
 Clearing w we have:
 w = (54x ^ 9y ^ 8) / (6x ^ 3y ^ 4)
 Rewriting:
 w = (9 * x ^ 6y ^ 4)
 Answer:
 the length of the rectangle is:
 w = (9 * x ^ 6y ^ 4)