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In this video, let's learn how to find the area of a parallelogram.

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But over here I have a program and we know opposite sides are equal and parallel in a program to let

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this side be a this is also a this is me and this is B, and these two sides are parallel and these

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two sides are parallel.

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Now from this vertex.

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Let me construct an altitude to the opposite side.

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All right.

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Now, let me cut out this triangle over here and move it down.

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And I fix it over here, I fix it to this place over here, so that would look like this.

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Now, over here, you can see that it has changed to a rectangle, right?

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So this is the shape that we started with.

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And over here, the length was a right.

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So therefore, this length also is equal to it right now over here, because this is a this also will

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be equal to it.

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Right.

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Why is that so?

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Because it's given that this much is it.

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All we did was we cut this out and placed it over here.

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Therefore, the length of the side does not change.

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So this is a this is it.

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And let this be it.

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This is the altitude that we dropped from here to here.

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So let this be it.

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Now we have got here a rectangle and the area of a rectangle is equal to side into the other side.

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So length in breadth.

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In this case, the area of this figure over here is equal to eat into it.

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Therefore, we have got that the area of a program is equal to the base into the height.

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Right over here is the base.

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And it's over, here is the height.

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Therefore, area of a program is equal to base in height.

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Now, remember, the height is the perpendicular drop on that side from the opposite vertex, or in

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this case, we have taken this as the base.

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The opposite vertex is over here and we drop it perpendicular to this side.

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We could have dropped it from here.

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Also, this is also an opposite vertex to this site.

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So you will get the same height if you have dropped it from here.

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So let's quickly summarize.

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We have seen that the area of a program is equal to base in height.

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Now, let's have a look over here again now from this vertex, I drop each one.

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So in that case, the area of this program is equal to a into each one because it is taken as the base.

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Each one is the height.

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Now, if I were to take B as the base, let me drop A perpendicular from the opposite vertex to this

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side.

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So let this be its two, then you can say that the area is equal to be in two x2 and these two are equal.

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You will get the same value in this case and in this case.

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So to find the area of a program, all you need to know is the base and the corresponding height, right?

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If you know this as a and if you know this as it's to, you cannot multiply them.

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Right.

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You need the corresponding height.

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You need to multiply avin each one or be with two to get the area of a program.

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Let's see one more interesting concept.

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We have a Bananagrams over here, the site is five centimetre and eight centimeter.

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Now let's have another parallelogram with the same size.

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Well, this is all the five centimetre an eight centimeter window opposite sides in a paragraph about

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equal.

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Right.

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But this is also a five centimeter.

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This is also eight centimeters similarly over here.

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So this is eight centimeter and this is five centimeters.

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So you will see that these two parallelograms have the same perimeter.

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But you can see that this angle is not equal to this angle.

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These two angles are different.

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Right.

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That's why over here, it's given that the altitude from the opposite side of this side is two centimeter

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in length.

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And over here, they already do this three centimeters.

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So you will see that though the perimeter is the same, these two parallelograms have different areas.

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So remember, just because two parallelograms have the same perimeter or even the same length of the

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sides, it does not mean that they will have the same area.

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What is the area over here?

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It will be two in to eat, right.

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That 16 centimeter square.

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What is the area over here?

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It will be three to eight.

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That's twenty four centimeter square.