a farmer i susing 1800 feet of fencing to enclose a rectangular field and then subdivid e it into two equal sized pens. The fence that divides the pens is parallel to the field's shorter sides. find the dimensions of the field that yield a maximum area. Solve this without using calculus, then think about how you could use the first derivative test to solve the problem

46.2+112.3

step-by-step explanation:

answer: 1+1

step-by-step explanation: 1+1 is at least 2

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west