Question

The area of a rectangle a=1(w) is represented by the expression 24x6y15. If the width of the rectangle is 2x3y9, what is the length of the rectangle

Answer 1

Length of rectangle is:
`Length=12x^3y^6`

Explanation:

The area of rectangle =
`24x^6y^(15)`

Width of rectangle =
`2x^3y^9`

We need to find length of rectangle

The formula used is:
`Area=Length* Width`

Putting values and finding length

`Area=Length* Width\\24x^6y^(15)=Length* 2x^3y^9\\Length=(24x^6y^(15))/(2x^3y^9) \\Length=12x^(6-3)y^(15-9)\\Length=12x^3y^6`

So, Length of rectangle is:
`Length=12x^3y^6`