Question

a rectangle has a length of x3y4 inches and a width of xy7 inches . Which expression represents the ratio of the length of the rectangle to do width of the rectangle? (NEED HELP ASAP)

Answer 1

The ratio of the length of the rectangle to do width of the rectangle is x² : y³

How to determine the ratio of the length of the rectangle to do width of the rectangle

From the question, we have the following parameters that can be used in our computation:

Length = x³y⁴

Width = xy⁷

The ratio of the length of the rectangle to do width of the rectangle is represented as

Ratio = x³y⁴ : xy⁷

Simplify

Ratio = x² : y³

Hence, the ratio is x² : y³

Answer 2

A. x²/y³

Explanation:

Given the following data;

Length = x³y⁴

Width =
`xy^(7)`

Ratio = length/width

`Ratio = \frac{x^(3)y^(4)}{xy{^7}}`

Simplifying the equation by applying the law of indices (division), we have;

`(x^(3))/(x) = x^(3) - x^(1) = x^(3-1) = x^(2)`

`(y^(4))/(y^(7)) = y^(4) - y^(7) = y^(4-7) = y^(-3)`

Hence, rearranging the above values;

`Ratio = (x^(2))/(y^(3))`

Therefore, the expression that represents the ratio of the length of the rectangle to the width of the rectangle is A. x²/y³.