Question

(Score for Question 3: __of 12 points)

3. The area of a rectangle is 45x^8y^9square yards. If the length of the rectangle is 5x^3y^4 yards,
which expression represents the width of the rectangle in yards?
Answer:

Answer 1

The expression for the width of the rectangle is
`9x^(5)y^(5)`.

Explanation:

The formula to compute the area of a rectangle is,

`Area=length* width`

Given:

Area =
`45x^(8)y^(9)\ square\ yards`

Length =
`5x^(3)y^(4)\ yards`

Determine the expression for the width of the rectangle as follows:

`Area=length* width\\45x^(8)y^(9)=(5x^(3)y^(4))* width\\width = (45x^(8)y^(9))/(5x^(3)y^(4)) \\=(45)/(5)* [x^(8-3)]* [y^(9-4)]\\ =9x^(5)y^(5)`

Thus, the width is
`9x^(5)y^(5)`.