46
Step-by-step explanation:
It's probably easiest to break this into four parts, specifically each side of the rectangle. Â In a rectangle, unless they are the same size, so a square, each non square rectangle has two long sides and two short sides. Â Here the long sides are 8 1/2 feet and the short sides are 6 1/3 feet. Â
Now, we want to see how many panels it takes to measure each side. Â For instance, let's say you want to lay a panel along a wall that is 2/3 of a foot wide, well it would just take one panel since each panel is just as long. Â If the wall was 4/3 or 1 and 1/3 feet long you would need two panels because 2/3 + 2/3 = 4/3. Â This is the kind of thinking you want to use.
So, first let's handle the longer side. Â Keep in mind there are two of course, but let's solve for one and then double it. Â So the longer side is 8 1/2 feet. Â There are two ways to do this. Â you can keep counting 2/3 until you get to 8 1/2 or you could just divide. Â If you are not good with fraction division then just counting will work here. Â I will show both ways. Â First counting.
2/3
4/3 = 3 1/3
6/3 = 2
8/3 = 2 2/3
10/3 = 3 1/3
12/3 = 4
14/3 = 4 2/3
16/3 = 5 1/3
18/3 = 6
20/3 = 6 2/3
22/3 = 7 1/3
24/3 = 8
26/3 = 8 2/3
You could keep going but 8 2/3 is more than 8 1/2, so this where we stop, because the one before it, 8 is less than 8 1/2. Â So unless you are allowed to cut the panels, you are going to wind up using 13 panels which will total a length of 8 2/3 feet. Â
If you want to use division, you would use the same way you would think of splitting say 100 marbles into groups of 5, you would do 100/5 = 20. Â here you have a total length of 8 1/2 and divide it by 2/3. Â If you need an explanation how to do it let me knwo but you get to 12.75, which again, unless you can cut the panels you will need 13 n both sides. Â so 13 on both long sides means 26
Now the two short sides. Â Since we already counted let's use it again. Â How many does it take to get to at least 6 1/3? Â Well, 9 gets to 6 and 10 is 6 2/3, so that means we need 10 to get above 6 1/3. Â Using division again we would do 6 1/3 divided by 2/3, you get 9.5, which again shows we need more than 9 panels, so unless you can cut them that means 10. Â two short sides means we multiply it by 2 to get 20
So total number fo panels is 26 + 20 = 46
if there was anything you don't understand let e know so I can explain. Â And again, that goes for fraction division too.