Answer:
Dimensions :
x (the longer side, only one side with fence ) = 90 ft
y ( the shorter side two sides with fence ) = 45 ft
Total fence used 45 * 2 + 90 = 180 ft
A(max) =
Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.
Lets call "x" one the longer side ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side
Then we have:
P = perimeter = 180 = 2y + x ⇒ y = ( 180 - x ) / 2 (1)
And A (r) = x * y
A(x) = x * ( 180 - x ) /2 ⇒ A(x) = (180/2) *x - x² / 2
Taking derivatives on both sides of the equation :
A´(x) = 90 - x
Then if A´(x) = 0 ⇒ 90 - x = 0 ⇒ x = 90 ft
and from : y = ( 180 - x ) / 2 ⇒ y = 90/2
y = 45 ft
And
A(max) = 90 * 45 = 4050 ft²
Answer:
A the first one ( the rotation of 90 degree)
Step-by-step explanation:
Please mark as brainliest if it helps. I need to rank up.
Well first of this makes sense because you need to make sure your rug will fit. So anyways, first lay your rug out on a flat surface, grab your yardstick, lay it on the rug to find the length and then the width. you then know the size of your rug(assuming its square). You can do the same thing in the room you want it in.
So,
If she keeps one-fourth for herself, she will keep:
72 * 0.25 = 18
That leaves the rest for her friends.
72 - 18 = 54
Her friends will get 54 "Suites."
