Question

The area of a rectangle is 54x y9 3 6x y4 yards, 8 square yards. If the length of the rectangle is which expression represents the width of the rectangle in yards?

Answer 1

`b=9x^6y^4`

Explanation:

Area of a rectangle,
`A=54x^9y^8`

Let us assume, the length of the rectangle,
`l=6x^3y^4`

We need to find the expression for the width of the rectangle.

The formula for the area of a rectangle is given by :

`A=lb`

b is width

Put the values of A and l in the above formula and solve for b.

`b=(A)/(l)\\\\b=(54x^9y^8)/(6x^3y^4)\\\\=9x^(9-3)y^(8-4)\\\\=9x^6y^4`

So, the width of the rectangle is
`9x^6y^4`.