The area of a rectangle is 54x9y8 square yards. If the length of the rectangle is 6x3y4 yards, which expression represents the width of the rectangle in yards?

Respuesta :

Answer:

[tex]W=9x^{6}y^{4}\ yd[/tex]

Step-by-step explanation:

we know that

The area of rectangle is equal to

[tex]A=LW[/tex] -----> equation 1

we have

[tex]A=54x^{9}y^{8}\ yd^{2}[/tex]

[tex]L=6x^{3}y^{4}\ yd[/tex]

substitute in the equation 1 and solve for W

[tex]54x^{9}y^{8}=(6x^{3}y^{4})W[/tex]

simplify

Divide by [tex](6x^{3}y^{4})[/tex] both sides

[tex]W=9x^{6}y^{4}\ yd[/tex]

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