Find the greatest possible enclosed area of a rectangular corral given 400 feet of fencing

Maximum area = 10000 square units.

Step-by-step explanation:

We are given the following information:

Rectangular perimeter of coral =  400 units.

Let length of the coral be x. Then,

Perimeter = 400 = 2(Length +Breadth)

Thus, the area of rectangle is given by,

Thus, we have to maximize the function:

We will use double derivative test.

First we differentiate with respect to x.

Equating this to zero to obtain critical points,

Now, again differentiating with respect to x.

Thus, by double derivative test, local maxima occurs for this function at x = 100

So, Length = x = 100 units

Breadth = 200 - x = 100 units

Maximum area = 10000 square units.

its an acute right triangle

step-by-step explanation:

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula