A rectangle has a perimeter of 120 cm.
Write the length of the rectangle as a function of its width.
2 L + 2 W = 120
so
L + W = 60
so
L = 60 - W
oh yea there's a second part of it. how do i find the range and domain.
I got
domain => x=R<60
range => y=R<60
Neither can be negative !
hmm
x=R; 0<x<60
y=R; 0<x<60
how's that
I like that better.
Perimeter is 120
The lenght is twice its width
What is the lenght
To write the length of the rectangle as a function of its width, we first need to understand the relationship between the dimensions of a rectangle and its perimeter.
The perimeter (P) of a rectangle is given by the formula:
P = 2L + 2W
Where L represents the length and W represents the width of the rectangle.
In this case, we have the perimeter value of 120 cm:
120 = 2L + 2W
To write the length as a function of the width, we can rearrange the equation to solve for L.
First, subtract 2W from both sides of the equation:
120 - 2W = 2L
Next, divide both sides by 2 to isolate L:
L = (120 - 2W) / 2
Simplifying further, we have the function:
L = 60 - W
Therefore, the length of the rectangle (L) is given by the function L = 60 - W, where W represents the width of the rectangle.