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.