Question

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?

Answer 1

Width of rectangle =
`\mathbf{9x^6y^4}` yards

Explanation:

The area of a rectangle =
`54x^9y^8`

The length of rectangle =
`6x^3y^4`

We need to find the width of rectangle.

The formula used is:

`Area=Length* Width`

Putting values and finding width of rectangle

`Area=Length* Width\\54x^9y^8=6x^3y^4* Width\\Width=(54x^9y^8)/(6x^3y^4)`

Using exponent rule:
`(a^m)/(a^n)=a^(m-n)`

`Width=9x^(9-3)y^(8-4)\\Width=9x^6y^4`

So, we get Width of rectangle =
`\mathbf{9x^6y^4}` yards