Answer:
400 m^2.
Step-by-step explanation:
The largest area is obtained where the enclosure is a square.
I think that's the right answer because a square is a special form of a rectangle.
So the square would be 20 * 20 = 400 m^2.
Proof:
Let the sides of the rectangle be x and y m long
The area A = xy.
Also the perimeter 2x + 2y = 80
x + y = 40
y = 40 - x.
So substituting for y in A = xy:-
A = x(40 - x)
A = 40x - x^2
For maximum value of A we find the derivative and equate it to 0:
derivative A' = 40 - 2x = 0
2x = 40
x = 20.
So y = 40 - x
= 40 - 20
=20
x and y are the same value so x = y.
Therefore for maximum area the rectangle is a square.
Answer:
Hence the area of CD bought by Nathan is <em>22.2784 square inches.</em>
Step-by-step explanation:
The length and width of a CD bought by Nathan is
inches.
As CD have the same length and width this means it will be of the shape of a square.
Hence, the area of CD is given by:
Area of CD=length×width
= 
=
=
=
=
Hence the area of CD bought by Nathan is 22.2784 square inches.
Answer:
$20.00
Step-by-step explanation:
I took a test and got it correct.
150 divided by 25 is 6 so the answer is 6