Question

a. Find the value of x that maximizes the area of the figure.
(12 - 4x) ft
(x + 2) ft
12 ft
b. Find the maximum area.
The maximum area is
square feet


i need helppp!!!! i will follow you and everything even if u can do some Google research on this qu3ation. PLEASE HELP​

Answer 1

Step-by-step explanation:

the area is

$A=\frac{(12+12-4x)(x+2)}{2}

\\=2(6-x)(x+2)

\\=-2x^2+8x+24

\\=-2(x^2-4x+4)+32

\\=-2(x-2)^2+32$

will max if

a. x = 2

and the max area is

b 32