Nick wants to build a rectangular enclosure for his animals. one side of the pen will be against the barn, so he needs no fence on that side. the other three sides will be enclosed with wire fencing. if nick has 700 feet of fencing, you can find the dimensions that maximize the area of the enclosure.

350 ft long facing the barn and 175 ft wide

Step-by-step explanation:

Let a and b be the length and width of his rectangular fence. Since he has 700 feet of fencing and one side does not need fencing. We have the following constraint equation:

a + 2b = 700

a = 700 - 2b

We want to maximize the following area formula

A = ab

We can substitute a = 700 - 2b

To find the maximum value of this, simply take the 1st derivative, and set it to 0

A' = 700 - 4b = 0

b = 700 / 4 = 175 ft

a = 700 - 2b = 700 - 350 = 350 ft

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square