So with this, we will be using proportions. To solve for x, our proportion will be 
Firstly, cross-multiply: 
Next, subtract 36 on both sides: 
Next, replace -9x with 3x-12x 
Next, factor x^2+3x and -12x-36 separately:
. After, rewrite it as 
Next, solve for x separately in the two parentheses:


Since we can't have a negative length, x = 12.
To solve for y, our proportion will be 
Firstly, cross-multiply: 
Next, just square root each side, and your answer will be (rounded to hundredths) 
In short, x = 12 and y = 10.39.
The most appropriate choice for maxima and minima of a function will be given by
Rectangle of length 72 feet and breadth 36 feet has largest area
What is maxima and minima?
Maxima of function f(x) is the maximum value of the function and minima of function f(x) is the minimum value of the function.
Here,
Let the length be x feet and breadth be y feet
The farmer has 144 feet of fencing
Three of the sides will require fencing and the fourth wall already exists.
So,
x + y + y =1 44
x + 2y = 144
Area of rectangle(A) = xy 
= (144 - 2y)y
= 

= 
For largest area,



Hence area is maximum
For largest area, y = 36 feet

feet
So length of rectangle is 72 feet, breadth of rectangle is 36 feet
To learn more about maxima and minima of a function, refer to the link:
brainly.com/question/14378712
#SPJ9
Answer:
1541
Step-by-step explanation:
23×67=154
hope it helps