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.

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

Moren · Answer

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

Taylor · Answer

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

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.

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.