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Question 1:
Perimeter is just the total length of all the sides put together. So, just add up all the lengths of the sides:
2+2+3+3+5 = 15
Question 2:
The important thing in this question is that we are dealing only with squares which implies all the sides have the same length (and all the interior angles are right angles, but that's not important for now). If S is the length of a side, then the area of a square is S^2 = SxS.
The area that Mary needs to tile is a square with side length = 5 feet, so the area of the square is 25 square feet.
Now, Mary will be using square tiles with area 1 square foot.
Right there, that tells you that Mary will need 25 tiles.
However, we need the tiles to be square which they are thankfully. Here's why:
Since the tiles are square and have an area of 1 square foot, that means that the sides of the tile are 1 foot long. Let's call the side of the tile s. So the area of the tile = s*s, but we know that is 1. So, 1=s*s. The only value that s can be is 1.
Because the shape Mary must tile is a 5x5 square and Mary will be buying 1 square foot square tiles that means that she will be using 25 tiles in this pattern:
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
where the number 1 corresponds to a single square tile.
QUESTION 7:
It is a hexagon.
Names of polygons are based on the number of sides: "(number prefix) gon".
This shape has 6 sides and the number prefix is "hexa".
Thus, this shape is a "hexagon".
LAST QUESTION:
It means that they have the same value.
For instance:
1/2 and 2/4 are two different fractions.
If you were to put them on a number line, they'd both be at 0.5.
Why?
Because 1/2 = 0.5 and 2/4 = 0.5.
1. 15 (Just add together)
2. 25 (multiply the sides for the area)
3. a) Given how easy the other questions were and how they use the term polygon they most likely want the answer Hexagon.
3. b) Technically this is a hexagonical gnomon. Its just, no one outside of university students or teachers trying to be funny would call it that. For practical purposes its an L shape.
So to summarize: I am 90% sure they want you (or whoever this is for, presumably your kid?) to say that it is a hexagon as it has 6 corners.
The L shape is actually called a gnomon.
We can call it both to cover both bases or gnomon since all true gnomons are hexagons.
The level of other questions and them saying it is a polygon hints at them wanting you to answer hexagon. So go with hexagon.
Opinion
2Opinion
1. 15 ft.
2. 25 tiles.
7. A Tetris piece. 😆
Bonus. They are equal?
15, 25, a irregular hexagon, 1/2 and 2/4 are an example
#1- 15ft
#2- 25
#7-
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