katalinrisner1145 katalinrisner1145
  • 25-02-2020
  • Mathematics
contestada

What are the dimensions to maximize the area of a rectangular horse pen with 200 feet of fencing if the north side of the pen uses the side of the barn?

Respuesta :

thaovtp1407
thaovtp1407 thaovtp1407
  • 26-02-2020

Answer:

The dimensions to maximize the area is 50 by 100

Step-by-step explanation:

Let x= the length of the side perpendicular to the barn 

and 200-2x= length of the side parallel to the barn

Area = x(200-2x) (1)

Area =-[tex]x^{2}[/tex]+200x

The formula for the w-value of maximum is: -b/2a

thus our value will be:

200/4 =50

and substitue x = 50 into (1), we have:  200-2(20) =100

Thus the dimensions to maximize the area is 50 by 100

Answer Link

Otras preguntas

What Are The Advantages And Disadvantages Of Having Two Houses In Congress?
what is 8.666666666666 in simplest form
what is the reciprocal of the number 2
Which is a complete sentence? A. Explore six Pueblo sites in four states. B. Streaked red canyon walls and ancient cliffside dwellings. C. A winding path that l
Which sentence uses a verb that agrees with its pronoun subject? A. Neither of the sandwiches are fresh. B. Some of my father's hobbies is expensive. C. Somebod
What was the option given in 1986 to illegal aliens to become legal residents? a. Origin Requirement Act c. Immigration Reform and Control Act b. Immigration Co
what is 8.666666666666 in simplest form
what is - 33/50 as a decimal
Is the land use for most of panama forestry yes or no?
Why is chief becoming more important than a hunter in lord of the flies? (ch7)