The area of a rectangle whose width is 3 less than half its length can be found by the polynomial A(l)=12l2−3l
. Which of the following are the two related quantities represented by this polynomial? Enter the number of the correct quantity.
Quantity #1: length of the rectangle and width of the rectangle
Quantity #2: width of the rectangle and perimeter of the rectangle
Quantity #3: perimeter of the rectangle and area of the rectangle
Quantity #4: area of the rectangle and length of the rectangle
(1 point)
The two related quantities represented by this polynomial are Quantity #
.
The two related quantities represented by this polynomial are Quantity #1: length of the rectangle and width of the rectangle
Quantity #1: length of the rectangle and width of the rectangle
To determine the related quantities represented by the polynomial A(l) = 12l^2 - 3l, we can analyze the equation and understand its components.
In the given polynomial, "l" represents the length of the rectangle. The polynomial 12l^2 - 3l represents the area of the rectangle because it is a function of the length (l) and computes the area based on that length.
Therefore, the related quantities represented by the polynomial are:
Quantity #1: length of the rectangle and area of the rectangle
Quantity #4: area of the rectangle and length of the rectangle
So, the correct answer is Quantity #4: area of the rectangle and length of the rectangle.