Question

farmer hannah has 370 feet of fencing to enclose 2 adjacent horse corrals, as shown in the diagram above.
what dimensions should be used so that the enclosed area will be maximized?

(a) express the area \\(a\\) as an equation of \\(x\\) and \\(y\\):
(b) determine the perimeter equation as a function of \\(x\\) and \\(y\\) with the given information:

Explanation:

Express the area as an equation of x and y

Using the Optimization Problems knowledge point

$$ A = 2xy $$

Determine the perimeter equation with the given information

Using the Optimization Problems knowledge point

$$ 4x + 3y = 370 $$

Answer:

Question 1

\(A = 2xy\)

Question 2

\(4x + 3y = 370\)