The back of monique's property is a creek. monique would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. if there is 580 feet of fencing available, what is the maximum possible area of the corral?

Maximum possible area of the corral will be 42050 square feet.

Step-by-step explanation:

Monique wants to enclose a rectangular area, using creek on one side and other three sides by the fence.

Let the length of one side of the rectangular area is 'x' feet and other side is 'y'.

Length of the fencing has been given as 580 feet.

Therefore, (2x + y) = 580

2x + y = 580

y = (580 - 2x)-------(1)

Area of the rectangular area = length × width

A = xy

Now we replace the value of y in the area

A = x(580 - 2x)

   = 580x - 2x²

For the maximum area of the corral, we will find the derivative of the area A with respect to x and equate it to zero.

= 0

580 - 4x = 0

4x = 580

x = 145 feet

From equation (1)

y = (580 - 2×145)

  = 580 - 290

  = 290 feet

Maximum area covered of the corral = xy

= 145×290

= 42050 square feet

Therefore, maximum possible area of the corral will be 42050 square feet.

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24

you need to add a picture