The area of a rectangle is 42x5y7 square yards. If the width is 6xy3 yards, what is the length?

The area of a rectangle is 42x5y7 square yards. If the width is 6xy3 yards, what is the length?

7x5y10

48x6y10

7x4y4

7x6y10

1 answer

To find the length, we can divide the area by the width.

The area is 42x^5y^7 square yards, and the width is 6xy^3 yards.

Dividing the area by the width, we get (42x^5y^7) / (6xy^3)

Simplifying, we can divide the factors individually: 42/6 = 7, x^5 / x = x^4, y^7 / y^3 = y^4

Therefore, the length is 7x^4y^4.

So, the correct answer is 7x4y4.