00:01
Here we have 300 feet of fence to enclose two adjacent rectangular pieces of land.
00:07
So basically we have something that looks like this, where we have a length and we also have a width.
00:13
Now, first question says to write an equation that relates to the length and width to the total given distance.
00:19
Well, and that's because how many lengths do we have and how many widths? well, there's going to be three widths and two lengths that has to add up to give me that 300.
00:28
So that's 2l plus 3w.
00:33
Now we want to write the equation in there.
00:38
We use that equation to the right of the total area as a function of only one of these variables.
00:43
And it doesn't really matter which ones.
00:46
Note the area is going to be the length times the width.
00:50
So let's take this equation and solve for one of the variables.
00:54
It doesn't matter which.
00:55
I'm going to say l is equal to 300 minus 3w and then divide.
01:00
By 2.
01:00
I subtracted 3w and then divided by 2 to get that.
01:04
So i can then take that and plug that in for l...