00:02
Okay, so i see that you need help with this problem.
00:04
It says, olivia is going to put a wooden floor in a space in her gym to teach dance classes.
00:10
The space designated for this purpose has a rectangular shape.
00:14
We know that the length of is two meters greater than the width.
00:19
So we have the length is two meters greater than the width and a greater than twice the width, so 2w, and that the area is 60 meters squared.
00:43
So we do 2 times 2 plus 2w times w.
00:51
I don't know why i did the 2 on the outside.
00:55
Two plus 2w times w equals 60.
01:02
So i have 2w plus 2w squared equals 60.
01:07
So 2w squared plus minus 60 equals 0.
01:16
So i'm going to divide everything by 2.
01:19
So 2w squared plus w minus 30 equals 0.
01:28
And so w can equal a negative 5 and w equals a positive 6.
01:36
That equals 0.
01:38
So w equals 5.
01:40
And just testing this out, 5 times 2 plus 2.
01:47
So that is going to be 12.
01:53
And then this is 5 and 12 times 5 is 60.
01:59
And so the equation that defines the area is 2 times or 2 plus 2w times w equals 60.
02:17
And then what are the dimensions of the place where the floor is placed? so that is going to be the length is 12 and the width is 5.
02:28
Olivia quoted on the internet the price of the wood that will be placed in the apartment.
02:34
It's $5 ,950 per meter squared...