Question

The area of a rectangle is 54x9y8 square yards. If the length of the rectangle is 6x3y4 yards, which expression represents the width of the rectangle in yards?

Answer 1

`W=9x^(6)y^(4)\ yd`

Explanation:

we know that

The area of rectangle is equal to

`A=LW` -----> equation 1

we have

`A=54x^(9)y^(8)\ yd^(2)`

`L=6x^(3)y^(4)\ yd`

substitute in the equation 1 and solve for W

`54x^(9)y^(8)=(6x^(3)y^(4))W`

simplify

Divide by
`(6x^(3)y^(4))` both sides

`W=9x^(6)y^(4)\ yd`