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

Answer:

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

Step-by-step 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: $Area=Length\times Width$

Putting values and finding length

$Area=Length\times Width\\24x^6y^{15}=Length\times 2x^3y^9\\Length=\frac{24x^6y^{15}}{2x^3y^9} \\Length=12x^{6-3}y^{15-9}\\Length=12x^3y^6$

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