Question

A rectangle has an area of x3y4 square inches and a width of xy7 inches. Which expression represents the length of the rectangle in inches?

Answer 1

The length of the rectangle in inches is x^2 / y^3.

Step-by-step explanation:

The area (A) of a rectangle is given by the product of its length (L) and width (W):

A=L⋅W

In this case, the area is given as x3y4 square inches, and the width is xy7 inches. Therefore, we can set up the equation:

x3y4=L⋅xy7

Now, to find the length (L), divide both sides of the equation by the width (W):

L= x3y4/xy7

Simplify the expression:

L=x3−1y4−7

L=x2y−3

So, the expression representing the length of the rectangle in inches is x2y−3.