Acollege is planning to construct a rectangular parking lot on land bordered on one side by a highway. the plan is to use 680 feet of fencing to fence off the other three sides. what dimensions should the lot have if the enclosed area is to be a maximum?

The maximum length is 170 feet and maximum width is 340 feet.

Step-by-step explanation:

Let the length of the parking = x feet and width = y feet.

Since, the fencing is to be applied on three sides of the lot.

So,we get,

i.e.

Since, the area of the rectangular lot = Length × Width

So, area of the lot =

i.e. area of the lot =

i.e. area of the lot =

Now, we know the maximum value of 'x' in is .

So, the maximum length of the lot is x= = = 170 feet.

Then, i,plies implies i.e. y= 340 feet.

So, the maximum length is 170 feet and maximum width is 340 feet.

step-by-step explanation:

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