00:01
So for the first question, let's look at a.
00:05
Make sure you take a better picture of quality next time, by the way.
00:10
Just so you know, it says a rectangular pool for a fountain has borders made with tiles that are each a square foot in area.
00:22
An example is shown in the figure.
00:28
For part a, what's the surface area of the water showing the pool in the figure? so our figure looks something like this, if i can draw it correctly.
00:44
So we have this central region with the pool.
00:48
If i can draw that properly.
00:58
Something like this.
01:02
And down from here.
01:10
And across.
01:18
Down again okay so we let me see if i can get the tiles right so we have our four corner tiles like this and then we have one two three four five six seven eight tiles in between so let's just split these into two halves so we're gonna get tiles like this on either side so one two three four four four four five, six, seven, eight, nine, ten.
01:54
One, two, three, four, five, six, seven, eight, nine, ten.
01:58
And then the other side, we're going to get identical stuff.
02:07
And on the sides, we have five in between.
02:12
So that's going to be something like this.
02:23
So there we go.
02:24
This is our pool and we have our water here.
02:27
So it wants us for part a to find the surface area of the water.
02:30
Well, that's just going to be this length here.
02:33
Multiplied by this length.
02:36
Here, we know the tiles have area one square meter, so that means the tiles are going to have dimensions one, sorry, one square foot.
02:46
So we know the tiles have dimensions one foot here and one foot.
02:51
There.
02:52
So, therefore, if we count across, we have one, two, three, four, five, six, seven, eight tiles.
02:59
So that's eight feet here, and here, one, two, three, three, 4, 5, which is 5 feet.
03:04
So therefore, the area of water is equal to 8 times 5, which is 40 feet squared...