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

$Ratio=\dfrac{Length}{width}$

$Ratio=\dfrac{x^3y^4}{xy^7}$

$Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}$

Cancel out the common factors.

$Ratio=\dfrac{x^2}{y^3}$

$Ratio=x^2:y^3$

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