Question

The area of a rectangle is 35x4y10 square feet. If the length of the rectangle is 7x2y5 feet, which expression represents the width of the rectangle?

Answer 1

Answer:
`5x^2y^5`

Explanation:

Given: Area of rectangle =
`35x^4y^(10)` square feet

Length of rectangle=
`7x^2y^5`

We know that,

Width of rectangle =
`\frac{\text{Area of rectangle}}{\text{Length}}`

Then,

Expression of width=
`(35x^4y^(10))/(7x^2y^5)`

`=(5x^(4-2)y^(10-5))/(1)\ \ \ \ [(x^m)/(x^n)=x^(m=n)]\\\\=5x^2y^5`

Hence, the expression for width of the rectangle =
`5x^2y^5`