What is the difference between perimeter and area?

What is the difference between perimeter and area?

Yesterday we looked at the perimeter of a square. We also find its algebraic expression form.

Today we will look at the area of ​​a square.

What is the perimeter and then the area you ask?

You can tell by the name itself. Perimeter i.e., Circumference is the distance or measurement that goes around. That is the measurement you have to cross if you want to get around a shape. If you ask if it spreading is area, then it should be said that it is also correct.

If the question arises as to how to spread it, it should be spread in square forms.

To put it more clearly to you take a garden. If we want to put a fence around the garden, the question arises, how many feet should we put it? The perimeter of the fence is as many feet as you want it to be.

Now if you are laying tiles all over the garden then the number of tiles required will be the area of ​​the garden. Don't ask if someone will lay the tiles to a garden. I said for your understanding. Consider tiling your room if you want.

If you ask me if I mean Mathematics like this or intentionally, I will tell you precisely.

Take a graph. Now let me tell you not only very correctly but also very precisely. Since it is grid, it will be in grids. Each of those visible grids is cm. That means squares. Grids each have an area of ​​one square centimeter. Within it are millimeter grids. If you count it, the small grids will be 100 in total. Since there are 10 millimeters per centimeter, there are 100 grids. You'll find out for yourself how this comes about in a little while. Now we have cm. Let's just take the squares.

With graph paper you can easily draw a square with a side size of 3 cm. Have you drawn?

Now how many centimeter lines did you need to make that square? 3 cm for one side and 12 cm for all four sides. Isn't it? This 12 cm is the circumference. i.e. the perimeter surrounding the square.

Now count the centimeter grids inside the square you drew. Is there nine? This 9 is the area of ​​the square. Since we are drawing a square in centimetres, when you divide each side into centimetres, you see that there are 9 grids inside. Should the grids be divided into centimetres? Since the square you have drawn is on the grid paper, you can also divide it into millimeters. Now each side comes to 30 mm. Count the millimeter grids inside.

How many grids does count, you ask? If the grids in the square are less then you can count them. You mean you can't when it's too much? So that you don't have to suffer, they have created a formula in mathematics. So don't say that formulas are bothering you anymore. Formulas are created to simplify our calculations.

What if our 3 cm sided square is 30 mm? Multiply the side and side of the square. Does it come to 30 × 30 = 900? Inside the square are 900 mm grids. If we say the area of ​​that square in millimetres, it should be 900 square millimetres. When asked why you stick the word square, you said that you counted square grids. So it should be said like that or not.

Well now when we discussed above we saw that there are 100 millimeter grids in a square centimeter grid? I think now you understand how it is.

That's right. A centimeter is 10 millimeters. Multiplying its side and side gives 10 ×10 = 100 itself.

Wondering if this is right?

Do not doubt. It will be perfect.

Take the squares below for example.

It is a square of 1 unit side. Multiplying side and side gives 1 × 1 = 1 square unit area. Being is a square.

Now take a square of two units per side.

Multiplying side and side gives 2 × 2 = 4 square units. If you count the square grids, you get only 4 squares.

Now take a square of three units per side.

Multiply side and side of this. 3 × 3 = 9 square units. Counting the square grids comes to 9 itself.

Now take a square of 4 units per side.

Multiplying side and side of this gives 4 ×4 = 16 square units. Counting square grids comes to 16 itself.

Now take a square of 5 units. You may say it is enough. Do you understand enough? That should be it. Now if we take a square of 10 mm per side, we get 10 × 10 = 100 mm grids. So if we take a square with a side size of one square centimeter, it will be 100 square millimeters inside. Now I think it is well understood how the 100 mm grids come within the centimeter grid on the graph sheet.

Now you understand that to find the area of ​​the square you need to multiply the side and the side. At the same time it is understood from what we said yesterday that the perimeter should be multiplied by 4 by the side of the square. Is that all you say? That's not it. The only thing main matters are coming now. We will look at those things tomorrow.

Before that you should always keep these things in mind.

Square is important in measuring area. Because we will have to specify the area of ​​any figure in square units as we have seen from the examples we have seen. Just keep this in mind for now. Let's look at the others one by one as we look at formulas for the area of ​​other shapes.

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