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Question
a rectangle has a length that is 19 times its width. the function y=(19w)(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 19w 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
The formula for the area of a rectangle is $A = l\times w$. Here, the length $l = 19w$ and the area $y=(19w)\times w$. So, $19w$ represents the length of the rectangle as it is the factor multiplied by the width $w$ to get the area $y$.
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a. the length of the rectangle, in feet