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:
inches
Step-by-step explanation:
well depends on how big your foot is
The window that has the shape of a kite has the area of the glass as 648 centimetre squared.
<h3>What is area of a figure?</h3>
Area can be defined as the space occupied by a flat shape or the surface of an object. Therefore,
The window is the shape of a kite. Therefore, the square meters of the glass used for the window is the area of the window(kite).
Therefore,
area of kite = ab / 2
where
- a and b are the length of the diagonal
Therefore,
a = 18 + 18 = 36 cm
b = 15 + 21 = 36 cm
area of the window = 36 × 36 / 2 = 1296 / 2 = 648 cm²
learn more on area here:brainly.com/question/2494000
Answer:
2
1/3
Step-by-step explanation:
A(xA, yA) = A (3,1)
B(xB,yB)=B(5,5)
the gradient=(yB-yA)/ (xB-xA)=(5-1)/(5-3)=4/2=2
C(4,7),D(10,9)
the gradient=(yD-yC)/(xD-xC)=(9-7)/(10-4)=2/6=1/3
