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?

Respuesta :

Answer: [tex]8x^3y[/tex]

Step-by-step explanation:

Given

The area of a rectangle is [tex]24x^5y^7[/tex]

The length of the rectangle is [tex]3x^2y^6[/tex]

The area is given by the product of length and width

Suppose, w is the width of the area

[tex]\therefore A=l\times w\\\Rightarrow 24x^5y^7=3x^2y^6\times w\\\\\Rightarrow w=\dfrac{24x^5y^7}{3x^2y^6}\\\\\Rightarrow w=8x^3y[/tex]

Thus, the width of the rectangle is [tex]8x^3y[/tex]