00:01
In this problem, we have been given a picture of a bookcase and that is shown over here.
00:07
It is said that the width needs to be 13 feet less than three times the height.
00:12
And we need to find the width and the height if the carpenter expects to use 32 feet of lumber to make it.
00:18
So let us assume that the height is h.
00:23
So that means that the length of this side is h and the length of this side is also h.
00:31
We're considering this to be in feet, so let's consider that the height is h feet.
00:35
And let us consider that the width is w feet.
00:38
So that means all of these are going to be w.
00:42
That is the length of this is w, the length of this is w, the length of this is w, and the length of this is also w.
00:50
Now, it is said that the width, this width, needs to be 13 feet less than three times the height.
00:58
So three times the height is 3 times h, and 13 feet.
01:02
Less than that will be 3h minus 13.
01:05
So the width is 3h minus 13.
01:09
And what we have been given is that the carpenter expects to use 32 feet of lumber.
01:14
So we can see that there are two boards of length 8...