00:01
Hi, from the question given that a fence to a construction site next to the building is to build in the shape of the rectangle with three sides.
00:11
So let us consider with the three sides.
00:19
So this is the side of the building.
00:22
Now if the construction company has 1200 feet of fencing available to build the construction site.
00:28
So here, this is the side.
00:33
So let x represents the width and y is the length.
00:37
Now the area of the rectangle is xy.
00:41
Now the perimeter of a rectangle is 2 times of x plus y.
00:48
Since side wall is not included here, so that is equal to 2x plus y.
00:55
So here, given that a construction company has 1200 feet of fencing available to build the construction site.
01:01
So 1200 which is equal to 2x plus y.
01:05
So here we need to find the dimension of the rectangular area that will maximize the area using the optimization technique.
01:11
So from this, we need to find the value of y is equal to 1200 minus 2x.
01:18
So that from the area, we need to find the maximum area...