The area of ​​a triangle is half the area of ​​a rectangle

The area of ​​a triangle is half the area of ​​a rectangle

Understandably you ask that we have not yet looked at the perimeter of a rectangle before looking at the area of ​​the triangle.

Circumference means the length or distance around? Round the rectangle from one point. You would have gone around twice as length as long and twice as breadh, wouldn't you?

A rectangle has length equal to length and breadth equal to breadh. Adding the two lengths and the two breadhs together gives the perimeter of the rectangle. Or multiply the addition of length and breadth by two to get the answer.

Oh, what's new, you say? See for yourself.

Perimeter of rectangle = Twice length + Twice breadth

If we want to express this in the form of an algebraic expression, we should express it using variables or constants. Two is a constant because it is a number. Lengtha and breadhs are variables because the length and width will change according to the rectangle. Now if we write the perimeter of the rectangle in algebraic form, it will be 2l + 2b, won't it? I said this is the answer of adding two lengths and two breadths.

Now perimeter of rectangle = 2l + 2b. If we take out the common 2 in this, we can write it as 2(l + b) with brackets. This is what I said is just adding the length and width and then multiplying by two.

While saying this, there are a few more mathematical rules to be mentioned.

In mathematics there is a rule called BIDMAS. It is a rule about what to do first, what to do second, what to do third, fourth, fifth and sixth when adding, subtracting, multiplying, dividing, bracketing and exponents in a calculation.

Is there a rule in math for this you ask? Yes there is a method to eating isn't there? In eating rice we have to eat first with sambar, then dry gravy, then rasam, then payasam, then curd. We follow this order. Like this is the sequence in mathematics. Well, you mean tell me the order? Let me tell you.

When doing a calculation all the math symbols like brackets, indices, division, multiplication, addition, subtraction come up, the first thing you need to do is the math operation inside the brackets. After that we need to see the value of indices. Then do the division operation. Then perform the multiplication operation. Then perform the addition operation. After that, the last subtraction operation should be performed.

If the brackets doesn't appear, leave it and see if there are indices. If the chairman does not come to the meeting, the meeting is held with the vice-chairman or not. If that doesn't come up then check if there is division. Like holding a meeting with a secretary if the vice-chairman doesn't come. If division doesn't come up then check if there is multiplication. If the secretary does not come, the meeting is held with the deputy secretary. If the multiplication doesn't come...do you understand what I am saying? That's it. It is necessary to take care of the queue system in the existing operation. It is like exchanging eating items. If you don't have sambar, you have to start with dry curry. If not, you have to start with rasam. It is necessary to take care of the sequence according to the availability. Do you understand now?

OK, you understand. But you don't understand how to remember that order? That's why BIDMAS has been developed in mathematics. You can identify the order by its initials. B means Bracket, I means Indices, D means Division, M means Multiplication, A means Addition, S means Subtraction. Oh, you think this short code is very convenient?

Now charting this sequence will help you remember it. Being able to properly tabulate and write down details to match the sum is a skill that we would do well to do.

Serial No	First Letter of the operation	Mathematical Operation
1.	B	Bracket
2.	I	Indices
3.	D	Division
4.	M	Multiplication
5.	A	Addition
6.	S	Subtraction

In this order, the perimeter of the rectangle is 2(l + b) with (l + b) in brackets do first. I told you that you should multiply by two only after finishing in the bracket operation. Or expand the above formula to get 2l + 2b? In this, I said that for 2 and l, as well as for 2 and b do first, the addition should be done after completing the addition, so that the two lengths and the two widths should be added. I don't need to explain why. As per BIDMAS rules it should be done like that. In calculations involving brackets and multiplication, the bracket operation completing first and the multiplication operation to be done. In the same way, multiplication and addition can be done by completing the multiplication and then addition. right?

You should also know another fact from this. The perimeter of a rectangle is a combination of addition and multiplication. What did I say right?

That's right, let's look at the area of ​​the triangle today. By then, the circumference of the rectangle has already come to this much. That's how the mathematics intertwines with each other and spreads like the roots of beauty in the mind and grows into a tree that gives happiness. We have learned the BIDMAS rule by looking at the perimeter of a rectangle. It is happiness, like two mangoes in one stone.

Why not look at the area of ​​a triangle today? Think about the idea in the title. We will see tomorrow. Well beginning is half done. Given such a title, we are half-done about the area of ​​a triangle. We'll take a quick look at the rest tomorrow.

*****