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?

Answer 1

Given:

Length of the rectangle =
`x^3y^4` inches

Width of the rectangle =
`xy^7` inches

To find:

The ratio of the length of the rectangle to width of the rectangle.

Solution:

We have,

Length =
`x^3y^4` inches

Width =
`xy^7` inches

So, the ratio of the length of the rectangle to width of the rectangle is

`Ratio=(Length)/(width)`

`Ratio=(x^3y^4)/(xy^7)`

`Ratio=(x* x^2* y^4)/(x* y^4* y^3)`

Cancel out the common factors.

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

`Ratio=x^2:y^3`

Therefore, the required ratio is
`x^2:y^3`.