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:
71
Step-by-step explanation:
This is the answer because:
1) First, add Andy's score and Janet's score in order to know how much they got in total:
- Janet's score: 119 + 96 + 145 = 360
- Andy's score: 127 + 74 + 88 = 289
2) In order to find how much more Janet scored, jus subtract Andy's score from Janet's score:
Therefore, the answer is 71.
Hope this helps! :)
1/2<0.55<5/7
This is the order from least to greatest
First one is 42
second is 24
Third is 12
