What is a function rule for the perimeter P of a rectangle if its width, w, is four times its
length, l?
(1 point
P = 4l
P = 4w
P = 10l
P = 10
P = 2 w + 2 L
= 2 w + 2 (4 w)
= 2 w + 8 w
= 10 L
P = 2(l + w)
The correct function rule for the perimeter P of a rectangle, given that its width w is four times its length l, is P = 2w + 2l.
Explanation:
In a rectangle, the perimeter is calculated by adding up all four sides. Since the width is four times the length, we can substitute 4l in place of w in the formula.
So, the function rule for the perimeter P would be P = 2(4l) + 2l, which simplifies to P = 8l + 2l.
Further simplifying, we get P = 10l.
To find the function rule for the perimeter of a rectangle based on the relationship between its width and length, we need to understand the formula for the perimeter of a rectangle.
The perimeter of a rectangle is given by the formula:
P = 2w + 2l
where P represents the perimeter, w represents the width, and l represents the length of the rectangle.
In this case, it is given that the width, w, is four times the length, l. So we can substitute this relationship into the formula for the perimeter:
P = 2(4l) + 2l
Simplifying the expression, we get:
P = 8l + 2l
Combining like terms, we get:
P = 10l
Therefore, the function rule for the perimeter P of a rectangle, if its width w is four times its length l, is P = 10l.