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.
slope is 2/3 and y intercept is 7
Answer:
me
Step-by-step explanation:
6y-10=y+25
subtract y from both sides
5y-10=25
add 10 to both sides
5y=35
divide both sides by 5
y=7
5 1/4 - 3 1/9
5 9/36 - 3 4/36
2 5/36 is final answer
