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
IM SORRY I CANT HELP YOU ONE THIS ONE SORRY I HOPE THIS HELPS :)
Answer:
Cube
X =8.25
Step-by-step explanation:
Answer:
The area of the circle is 28.26.
Step-by-step explanation:
πr =9.42
Using that, we can find the radius, which will help us find the area of the circle.
9.42/π = 3 (I used 3.14 for π)
The formula for area of a circle is:
πr^2
Plug our values in.
π(3^2)
9π
28.26
The area of the circle is 28.26.
To sum, Min would need to first figure out the radius of the circle, and then use the radius to find the area of the circle. She can figure out the radius by dividing 9.42 by π, and find the area with the formula πr^2.
The correct answer is BN.
