Question

The area of a rectangle is 24x5y7 square yards. If the length of the rectangle is 3x2y6, which expression represents the width of the rectangle in yards?

Answer 1

Answer:
`8x^3y`

Explanation:

Given

The area of a rectangle is
`24x^5y^7`

The length of the rectangle is
`3x^2y^6`

The area is given by the product of length and width

Suppose, w is the width of the area

`\therefore A=l* w\\\Rightarrow 24x^5y^7=3x^2y^6* w\\\\\Rightarrow w=(24x^5y^7)/(3x^2y^6)\\\\\Rightarrow w=8x^3y`

Thus, the width of the rectangle is
`8x^3y`