Given:
Length of the rectangle = [tex]x^3y^4[/tex] inches
Width of the rectangle = [tex]xy^7[/tex] inches
To find:
The ratio of the length of the rectangle to width of the rectangle.
Solution:
We have,
Length = [tex]x^3y^4[/tex] inches
Width = [tex]xy^7[/tex] inches
So, the ratio of the length of the rectangle to width of the rectangle is
[tex]Ratio=\dfrac{Length}{width}[/tex]
[tex]Ratio=\dfrac{x^3y^4}{xy^7}[/tex]
[tex]Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}[/tex]
Cancel out the common factors.
[tex]Ratio=\dfrac{x^2}{y^3}[/tex]
[tex]Ratio=x^2:y^3[/tex]
Therefore, the required ratio is [tex]x^2:y^3[/tex].
