Final answer:
The expression representing the ratio of the length of the rectangle to the width of the rectangle is x3y / xy.
Step-by-step explanation:
To find the expression representing the ratio of the length of the rectangle to the width of the rectangle, we divide the length by the width. The length is given as x3y inches and the width is xy inches. Therefore, the expression would be:
x3y / xy
The length of the rectangle is given as x^3y inches and the width is given as xy inches. The ratio of length to width is therefore:
Ratio = Length / Width
Ratio = x^3y / xy
Now, we can simplify this expression by cancelling out the common terms. We have an x in both the numerator and the denominator, and we can reduce this by subtracting the powers:
Ratio = x^(3 - 1)y / y
Ratio = x^2
The expression representing the ratio of the length to the width of the rectangle is thus x^2.