Question

a rectangle has a length that is 73 times its width. the function y=(73w)(w) represents this situation, where y is the area, in square feet, of the rectangle and y > 0. which of the following is the best interpretation of 73w in this context? a the length of the rectangle, in feet b the area of the rectangle, in square feet c the difference between the length and the width of the rectangle, in feet d the width of the rectangle, in feet

Explanation:

Step1: Recall rectangle - area formula

The area of a rectangle is given by \(A = l\times w\), where \(l\) is the length and \(w\) is the width.

Step2: Identify given information

We are given that \(l = 73w\) and \(y\) is the area of the rectangle, so \(y=(73w)(w)=73w^{2}\). Here, \(73w\) represents the length of the rectangle.

Answer:

A. The length of the rectangle, in feet