Question

Jim wants to build a rectangular parking lot along a busy street but only has 2,700 feet of fencing available. If no fencing is required along the​ street, find the maximum area of the parking lot.
I got the answer 911.25 which was incorrect I'm not sure what im doing wrong
w: width of the parking

ℓ: length of the parking

The perimeter of the parking is the length of the fence:

2.(ℓ + w) = 2700

ℓ + w = 2700/2

w = 2700/2 - ℓ


The area of the parking is:

a = w * ℓ → you know that: w = 2700/2 - ℓ

a = (2700/2 - ℓ).ℓ

a = 2700/2ℓ - ℓ² ← this is a function of ℓ


f(x)=3x^2+3x-3 if f(-x)=

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