Emily knows that the area of a rectangle is 54x9y8 square yards and that it's length 6x3y4 yards. If she divides the area by the length to find the width, then which expression represents the width of her rectangle in yards?

W = 9x^6y^4 yards

Step-by-step explanation:

Area of a rectangle = length × width

Area = 54x^9y^8 square yards

Length = 6x³y⁴ yards

Width = ?

Area of a rectangle = length × width

54x^9y^8 = (6x³y⁴)W

Divide both sides by 6x³y⁴

W = 54x^9y^8 / 6x³y⁴

= 54/6x^9-3y^8-4

= 9x^6y^4

W = 9x^6y^4 yards

The expression 9x^6y^4 represents the width of her rectangle in yards