00:01
First is 97 number question.
00:03
We say that the triangle shown as base b in height h and relationship is given as 3b plus h equal to 36.
00:14
I have to find maximum area of the triangle.
00:17
So area of the triangle will be half into b into h.
00:23
Okay, so i have to maximize this area.
00:28
So to maximize this area if we take only this.
00:32
So let us say this quantity is b equal to bh if you maximize only this it will be great from here h will be equal to 36 minus 3b so plug in here b into 36 minus 3b 32 b minus 3b square so to maximize or minimize p dash should be equal to 0 that is 36 minus 6b should be equal to 0 so b should be equal to 6.
01:09
So maximum area will be at when b equal to 6.
01:14
So let us plug in over here.
01:20
When b is 6, h will be 36 minus 18.
01:25
So 18 area, maximum area will be half into 6 into 18 and 54 square units...