Aaron is planning an exercise pen outside for Airedale, Airgas. Aaron has 22 meters of fencing. Determine
Aaron is the planning a pen for outdoor exercise their Airedale, Airgas. Aaron has 22 meters of fencing. Determine the area of large rectangular feather Aaron can do? this question is completely
There are several ways to go about this. First way is based more on intuition. Intuitively, the pen should be a square. If it is a square of side x, then area = x ^ 2. Suppose we increase the length of K, we have to decrease the width by k too (to maintain a perimeter of 22m). This gives area = (x +) k (xk) = x ^ 2-k ^ 2. Whatever the value of k you choose, the area will be lower. Therefore, a square 4 sided perimeter = => 4x = 22 => x = 5.5 the other way is by calculation: Let x length, width = 11-x (from 2x 2 y = 22). Area A = x (11-x) = 11x-x ^ 2 dA / dx = 11-2x set dA / dx = 0 => x = 5.5 & width = 11-x = 11-5,5 = 5.5, which is a square.
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