Question

Rextangle R has varying length L and width w with the constant perimeter of 4 feet

How do I include a graph with relevant points labeled?

Answer 1

make a square

Answer 2

oh i see they want you to make a function that models this

Answer 3

rectangle with length \(x\) and height \(y\) has area \(xy\) and perimeter \(2x+2y\)
since the perimeter is \(4\) you have \(2x+2y=4\) making \(x+y=2\) or \(y=2-x\)
that make the area \(A=xy\) the same as
\[A(x)=x(2-x)\] or if you prefer
\[A(x)=2x-2^2\] you can graph that one

Answer 4

oops i mean
if you prefer
\[A(x)=2x-x^2\] that's better

Answer 5

Would I just plug that equation in my calculator?