The area A of a rectangle with a perimeter of 32 cm is modeled as -x2+16x, where x is the width in cm. What is that maximum area of the rectangle?
-x^2 +16x = 32
-x^2 + 16x - 32 = 0
This is a parabola, with the maximum at x=8
-(8^2)+16(8) = 64 cm^2 maximum area
try it in the calculater the nimber you just gave me and tell me what you get ok then we will go on from there alright
It's not asking to substitute the perimeter. It's asking what the maximum area could be for that rectangle.
-x^2 +16x = 32
-x^2 + 16x - 32 = 0
This is a parabola, with the maximum at x=8
-(8^2)+16(8) = 64 cm^2 maximum area
Maybe easier:
-x^2 +16x is a parabola with a maximum value of 64 at x= 8
ERROR though it gives the correct answer
ignore my -x^2+16 = 32 answer it is incorrect
use the -x^2+16 is a parabola answer max value = 64 at x = 8