Answer: 80, 80
Explanation:
The perimeter of a rectangle/square formula:
2L+2w=P >P=320
2L+2w=320 >solve for one of variables let's pick L
2L = 320 - 2w
L = (320 - 2w)/2 >Simplify the dividing by 2
L = 160-w
You also need Area formula:
A = L(w) >Substitute from what we found from Perimeter
formula
A = (160-w)(w) >Distribute w
A = 160w - w² >Maximum are happens at the vertex of this
quadratic
A = w² - 160w
Vertex x formula in (x, y) for vertex:
a=1 b= -160 from A = w² - 160w from standard form: ax²+bx+c
w=80
Substitute back into Perimeter to find L
L = 160-w
L = 160 - 80
L = 80