![]() Step IV: Paste the triangular portion (PSE) on the white chart joining sides RQ and SP.Īfter doing this activity, we observed that the area of a rectangle is equal to the area of a parallelogram.Step III: Paste the remaining portion (EQRS) on a white chart.Step II: Cut the triangular portion (PSE).Step I: Draw a parallelogram (PQRS) with altitude (SE) on a cardboard and cut it.Let's do an activity to understand the area of a parallelogram. Thus, the area of the given parallelogram is base times the altitude. Note that we got the same answer using both methods. By counting the squares, we get:Īrea of the parallelogram = Side × height = 5 × 4 = 20 unit 2 ![]() Now, we will calculate the area of parallelogram by two methods: (i) By counting squares (ii) By using formulaĪrea of Parallelogram by Counting Squares:Īrea of the parallelogram = 16 + (1/2) × 8 = 16 + 4 = 20 unit 2Īlso, we observe in the figure that ST ⊥ PQ. Using grid paper, let us find its area by counting the squares. Let us analyze the above formula using an example. The formula to calculate the area of a parallelogram can thus be given as,Īrea of parallelogram = b × h square units The base and altitude of a parallelogram are perpendicular to each other as shown in the following figure. These, the area for both of these are just base times height.The area of a parallelogram can be calculated by multiplying its base by the altitude. Is just going to be, if you have the base and the height, it's just going to be theīase times the height. So the area of a parallelogram, the area, let me make this look even more Took this chunk of area that was over there and The area of this parallelogram or what used to be the parallelogram before I moved that triangle from the left to the right is also going toīe the base times the height. That just by taking some of the area, by taking some of the area on the left and moving it to the right, I have reconstructed this rectangle. What just happened when I did that? Well, notice it now looks just And what just happened? What just happened? Let me see if I can move And I'm gonna take thisĪrea right over here and I'm gonna move it Thinking about how much, how much is space is inside The same parallelogram, but I'm just gonna move So this, I'm gonna take that chunk right there and let me cut and paste it, so it's still So I'm gonna take this, I'm gonna take this On the left hand side that helps make up the parallelogram and then move it to the right and then we will see ![]() Is I'm gonna take a chunk of area from the left hand side, actually this triangle We're dealing with a rectangle, but we can do a little visualization Seem, well, you know, this isn't as obvious as if When you have a parallelogram, you know it's base and its height, what do we think its area is going to be? So at first, it might ![]() Perpendicularly straight down, you get to this side, that's going to be, that's We're talking about if you go from, that's from this side up here and you were to go straight down, if you were to go at a 90 degree angle, if you were to go The length of these sides that, at least, the way I'veĭrawn them, moved diagonally. So when we talk about the height, we're not talking about Our base still has length b and we still have a height h. You just multiply theīase times the height. Its area is just going to be the base, is going to be the base times the height, the base times the height. Rectangle with base length h and height length h, we know
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |