Area of a rectangle with fractions9/7/2023 Is the width going to be? What is the width going to be? Well we can see that the entire meter has been divided into one, Here is 3/7 of the whole and the whole is a meter. So this height right over here, this height right over And the height of the shadedĪrea is three of them. Two, three, four, five, six, seven equal sections that we'veĭivided this one meter in. We have one, that's that right over there. That might have beenĪ little bit confusing the way I just drew it. We've divided it into one, two, three, four, five, six, seven equal sections. So let me do it a little bit differently. In the vertical direction we've divided this one meter. For example, what is the height of just the shaded area? So just that height right over there and I encourage you to pause the video and try to think about what it is and it's going to be a fraction. Another way we could have tackled it is to figure out what the dimensions, what the dimensionsĪre of the shaded area. But what I want to appreciate now is that there's multiple ways that we could have tackled this. 1/70 of a square meter and what does that give us? Well that gives us the area of the shaded or the shaded area is going to be 27/70. Rectangles and each of them, and then each of them have an area of 1/70 of a square meter. The shaded area is going to be, we have 27 of these So there's 27 of these rectangles, of these equal rectangles One, two, three, four, five, six, seven, eight, nine columns of one, two, three. Of these rectangles there are and we see that there are Now if we cared about the shaded area we can just count how many So 1/70 of one square meter which is of course just going This character, thisĬharacter right over there that is 1/70 of the entire area. So we have 10 columns of seven or we have 70 of these rectangles, that our entire whole isĭivided into 70 equal sections that we see these We have to figure out how many of these rectangles has our whole been divided into? We could try to count them out or we could say let's see, I have one, two, three, four, five, six, seven, eight, nine, 10 columns, and each columns has Of these equal rectangles? For example what is the area of that rectangle right over there? And to figure it out we can say well, what fraction is that of the whole? And to figure that out So one way to think about it is well, what is the area of each Might jump out of you is that our entire area, our entire square is divided into these equallyĮqual, equal rectangles. So the shaded, shaded, shaded area is equal to what, and I encourage you to pause the video and try to figure that out. Now with that out of the way now let's focus on the shaded area. One times one is of course one and meters times meters we could write that as a square meter or meter squared, however What's the area of theĮntire square going to be, not just the shaded, the entire square? Well, the total area, total area is going to be equal to the height times the width. So I'm talking about theĭimensions of the entire square, not just the shaded region. And let's say its width is also one meter. So I have a square here and let's say that its
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