Perimeter: P=62 feet
P=2(b+h)
62=2(b+h)
Dividing both sides of the equation by 2:
62/2=2(b+h)/2
31=b+h
b+h=31 (1)
Area: A=bh (2)
Isolating h in equation (1)
(1) b+h=31→b+h-b=31-b→h=31-b (3)
Replacing h by 31-b in equation (2)
(2) A=bh
A=b(31-b)
A=31b-b^2
To maximize the area:
A'=0
A'=(A)'=(31b-b^2)'=(31b)'-(b^2)'=31-2b^(2-1)→A'=31-2b
A'=0→31-2b=0
Solving for b:
31-2b+2b=0+2b
31=2b
Dividing both sides by 2:
31/2=2b/2
31/2=b
b=31/2=15.5
Replacing b by 31/2 in equation (3)
h=31-b
h=31-31/2
h=(2*31-31)/2
h=(62-31)/2
h=31/2
The dimensions are 31/2 ft x 31/2 ft = 15.5 ft x 15.5 ft
The area with these dimensions is: A=(15.5 ft)(15.5 ft)→A=240.25 ft^2
These dimensions are not in the options
1) The first option has an area of: A=(18 ft)(13 ft)→A=234 ft^2
2) The second option has an area of: A=(19 ft)(12 ft)→A=228 ft^2
3) The third option has an area of: A=(17 ft)(14 ft)→A=238 ft^2
The third option has the largest area.
Answer: Third option
Answer:
C
Step-by-step explanation:
The perimeter would be 2*(4(2x+1) + 3(x+4)) because the right side length and the top side length are known. The left side length must equal the right side length and the bottom side length must equal the top side length. So the answer must be:
2*(4(2x+1) + 3(x+4)) = 2*(8x+4+3x+12) = 2*(11x+16) = 22x+32
C. 22x+32
Answer:
its 45
Step-by-step explanation:
because when you eat 5 eggs and it makes your tumtumt hurt because yoyt know why your tm tm hurt because you eat to may eggs you know g hahahahah
Answer:
814 in ^2
Step-by-step explanation:
2(wl x hl x hw)
hope this helps
Answer:
I have the same question, I'll try to figure it out <3
Step-by-step explanation:
