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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

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Step-by-step explanation:

Area of rectangle = $54x^9y^8$

Length of rectangle = $6x ^ 3y^4$

We need to find width of rectangle.

The formula used is:

$Area\:of\:rectangle=Length\times Width\\Width=\frac{Area\:of\:rectangle}{Length}$

Putting values in the formula to find Width of rectangle

$Width=\frac{Area\:of\:rectangle}{Length}\\Width=\frac{54x^9y^8}{6x^ 3y^4}$

Using the exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

and simplifying the terms we get

$Width=\frac{54x^9y^8}{6x^3y^4}\\Width=9x^{9-3} \: y^{8-4}\\Width=9x^6 y^{4}$

So, Width of the rectangle is: $\mathbf{Width= 9x^6 y^4}$

Option C is correct.

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