Answer: R = x^2/y^3
Step-by-step explanation:
here we will use the relation:
x^a/x^b = x^(a - b)
We know that:
Length = x^3*y^4
Width = x*y^7
And we want to find an expression that represents the ratio between the length and the width.
Then we just need to take the quotient Lenght/width or:
R = ( x^3*y^4)/(x*y^7)
Now first let's distribute in such way the x's and the y's are separated, and then let's use the relationship that is above.
= (x^3/x)*(y^4/y^7) = x^(3 - 1)*y^(4 - 7) = x^2*y^-3
R = x^2/y^3
The ratio of the length of the rectangle to the width of the rectangle is [tex]\frac{x^{2} }{y^{3} }[/tex]
Given that,
Area of rectangle is multiplication of length and width of rectangle.
length of rectangle [tex]=x^{3} y^{4}[/tex] inches
Width of rectangle [tex]=xy^{7}[/tex] inches.
the ratio of the length of the rectangle to the width of the rectangle is,
[tex]=\frac{x^{3}y^{4} }{xy^{7} } =\frac{x^{2} }{y^{3} }[/tex]
Learn more about the rectangle here:
https://brainly.com/question/19819849
