Question

The area of a rectangle is 54x y9 3 6x y4 yards, 8 square yards. If the length of the rectangle is which expression represents the width of the rectangle in yards?

Answer 1

Answer:

$b=9x^6y^4$

Step-by-step explanation:

Area of a rectangle, $A=54x^9y^8$

Let us assume, the length of the rectangle, $l=6x^3y^4$

We need to find the expression for the width of the rectangle.

The formula for the area of a rectangle is given by :

$A=lb$

b is width

Put the values of A and l in the above formula and solve for b.

$b=\dfrac{A}{l}\\\\b=\dfrac{54x^9y^8}{6x^3y^4}\\\\=9x^{9-3}y^{8-4}\\\\=9x^6y^4$

So, the width of the rectangle is $9x^6y^4$.