Answer:

Step-by-step explanation:
x = Length and width of base
y = Height of box
Volume of the box is 

Surface area is given by

Differentiating with respect to x we get

Equating with 0 we get


at 

So the function is minimum at x = 16

The material required is

The minimum amount of material required is
.
Answer:
a. 15m
b. 7m
Step-by-step explanation:
- perimeter is the sides added up, there are four sides of a square, and all sides are equal
- equation s+s+s+s or s•4 (s=sides)
- so to find the length with the perimeter divide perimeter by 4
- 60/4=15
- the area of a square is s²
- so take the square root of the area
- √49=7
Answer:
5x+1
Step-by-step explanation:
2x+3
*4x-5
=8x-15
Now you find the area of the white region
3x+2
*2-8
=3x+16
Now you subtract
8x-15
-3x+16
=5x+1
Answer: 50
Step-by-step explanation: 100 / 2 is 50