Subdivided the big rectangle into these six smaller rectangles, and we have the dimensions for Now, there's another way to do it, and a big clue was that we And just like that, thisĮxpression that I just wrote down will give us the area for the entire, the area for the entire big rectangle. And so if you add them all together, the width of the entire rectangle is going to be 3y squared minus 2y, minus 2y plus one. It's going to be 3y squared, plus the width of this yellow rectangle, which is negative 2y, and thatĬan have a negative out here, the same logic why thisĬould have a negative, why the negative 6y could have a negative, and then plus the width of the blue rectangle. What's its width? Well, the width is going to be the width of this purple rectangle, Squared plus negative 6y, which is the same thingĪs y squared minus 6y. Squared plus this distance, which is negative 6y, y Over here is going to be, it's going to be y squared minus 6y. How can my distance be negative 6y? Isn't a distance always positive? Well, even negative 6y can be positive if y is negative, so it's completely reasonable to say, well, this distance could be negative 6y. So what's its height? Well, from here to here, that distance is going to be y squared, and then from there to there, that distance is going to be negative 6y. Multiply the height of this big rectangle times the Ways to express the area of the entire large rectangle, which we see is made up of Wanna do in this video is figure out multiple I am 38 right now and decided to study Artificial Intelligence, but if you had asked me 20 years ago, I would have told you, I will never work in any field which requires math. Don't fall into the trap to let your 14, 16, 22 year old self limit your future options. I know school sometimes lacks any real world application, but becoming smarter through training can help you make a living in the long run.Īnd one more thing, don't believe everything you think right now. I guess no one needs to do push ups, squats or ride a bike real fast in the real world, but it all helps to keep your body functioning at a high level and keeps you healthy. Think about it as crossfit for your head. It all shapes your brain to be used in different ways. It's the same with historic dates, the fine arts, music, PE, languages. Even if you will never encounter a wild polynomial of the 3rd degree, going through this helps you think in a different way, use your brain and train it to push itself. Also it's quite possible that you will need it in any advanced form of business, banking or insurance work.ģ. If you plan on studying any STEM subject, you will need this. This is how the human body surface area was calculated as well: subject's bodies were covered in stripes of paraffin, which were then removed, sliced and measured.For everyone who is asking the same question (i guess Marlon is way past this anyway).ġ. Irregularly shaped areas are often divided into several rectangles when one needs to calculate their area, but can't do a precise calculation. Practical applicationsĪrea of a rectangle calculations have a vast array of practical applications: construction, landscaping, internal decoration, architecture, engineering, physics, and so on and so forth. Since in multiplication the order in which the numbers are multiplied does not matter, you need not worry about switching the places of the two measurements. A rectangular bedroom with one wall being 15 feet long and the other being 12 feet long is simply 12 x 15 = 180 square feet. For example, a garden shaped as a rectangle with a length of 10 yards and width of 3 yards has an area of 10 x 3 = 30 square yards. The area of any rectangular place is or surface is its length multiplied by its width.
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