Friday, October 29, 2010
1st period assignment 11/01/10 - due 11/03/10
When we know the area of a given square, WHY would we find the square root of the area to get the lengths of the sides of the square? Will this method work with ALL squares? Explain what finding the square root does to a number. Give an example if you need to, but make sure you still explain the WHY in the question!
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You would have to find the square root of the area (of a square) to find all the side length because to get the area of a square you have to multiply 2 of the sides together, which is x². Once you have done all of that then you can just work backwards to get the length of each side. The reason you would get every side length is because every side is equal. This formula would work on any type of square. For example, let’s say you have a 5 by 5 square, to get the area of it you would multiply 5 by 5 and then you would get 25. If you show someone the area of 25 all you would have to do is find the square root of 25, to get the beginning numbers. √25= 5.
ReplyDelete-selene aponte
When you want to find then side length of a square you have to find the area of a square. You have to use pigs theorem. (border dots divided by 2 the add the inside dots and subtract it by 1) then you take the answer you got and find the square root of it and you have your answer. For example if you take the area of a square that is 20 and you want to find the side length of it you just take the area (20) and find the squre root of it.(10) you can use this method for every squre.
ReplyDeleteWhen we know the area of a given square we can find the square root of that number to find out the length of each side since all sides of a square are equal. This method would work with all squares because all the sides of a square are congruent, they all have the same length and form 90 degree angles. The sides of a square are all the same length, so finding the square root helps us determine the length of each side of the square. The square root of a given number is another number that when multiplied by itself is equal to the given number, this is what finding the square root does to a number.
ReplyDelete--Sydney Pickett
If you already know the area of the square then having the side lengths would be helpful for checking your work because all you have to do is square a side length and that will give you the area. This method will work on all squares like if the area of a square was 25 then a side length would be 5, and 5x5=25. That is a true statement, it also works with a prime number but you will get a decimal. Finding a square root will tell you if the number is prime or not, it also can simplify the square by telling you the side lengths which will end up telling you the area of a square.
ReplyDeleteFirst you wouldmultiply two sides (s times s), and the answer to that is the total of all of te sides on the square. That works every time for example, 10 times 10 is 100. All you do is find the square root of 100 wich is 10 or -10 finding the square root simplifies the number
ReplyDeleteWhen we know the area of a given square, we find the square root of the area to get the lengths of the sides of a square because when we find the area we use the formula (border dots divided by two, add the inside dots, then subtract one). That answer gives us the area of the whole square, from that we find the square root of the area to get the lengths of the sides. You can check to see if you got the correct square root by multiplying the side lengths together, then if the two numbers equal the area then it is correct. Yes, it will work for all squares because all squares are congruent; meaning the side lengths are equal and the angles are also. When we find the square root of a number it decreases, for example; the square root of 9 is 3 = 3². –Sydney M.-
ReplyDeleteWhen you want to find the side length of a square you must first use pigs theorem witch is B÷2+I−1 (B=border dots, I= inside dots).once using this method on the given square you are to find the square root of that number. As an example lets say you have a square that has 4 border dots and 1 inner dot, the equation would be written like this 4÷2+1-1. The answer would be 2 units ². The area of the square is 2 units ².
ReplyDeleteWhen we know the area of a given square, we find the square root of the area to get the lengths of the sides of the square because algebra is idiot proof. When you find the square root of a square, you can always check yourself. You check yourself by asking what can I multiple itself to get a square root. When you get a square root, use the formula of a perfect square. A perfect square is a number that is a square of a whole number. Example 7² =49units² The square root is 49. When you divide 49/7=7, 7 is the side length. This method works for all perfect square. When you don’t have a perfect square it’s always going to be there area of the square. So, it work with perfect squares and when you don’t have a perfect square you have to use the area or think what’s between that square root. Example√151 ≈ 12, √25=5 The sign ≈ means estimated. A square root helps the number decrease in size. When you have a square root it is more accurate. Grace Barden
ReplyDeleteAlthough we know the area of a given square we find the square roots to find the side lengths of each square. This method works for all squares only as long as the square has equal sides which in a square root can be made. You would square root the area to find the side lengths that’s what it does find the side lengths.
ReplyDeleteA square is equal on all sides. That’s why you would find the square root after you already found the area. For example a squares area is 25 units squared. You would find the square root of 25 because after that you would know your side lengths and the side length of 25 is 5. So yes 5 would be all sides of the square.
ReplyDeleteThe method will work on all squares because all squares are equal.
Finding the square root affects the number by doubling the number. Example: 2 squared is doubled to 4.
when you want or need to find the side length of any perfect square you need to use pick's theorem which is border dots divided by 2 plus inside dots minus 1 and then after this method find the square root which is any number times itself and this will give the answer to the side length of any anonymous square.
ReplyDeleteWhen we have the area of a square we find the side lengths so we can find the square root of the given square. Ex. Area= 25, 25 divided by 5 = 5 so the side length is 5 and the square root is 5. This method will usually only work for perfect squares but if you don’t get a perfect square then you will probably have to find the square roots in between. When you multiply a number by itself you get the square root. Ex. 3×3=9 or 3^2.
ReplyDelete-Christian Frantz
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ReplyDeleteWe find the square root of the area of the square is to find the side length. You use pigs theorem it would make finding the side length a lot faster. The formula for pigs theorem is to count all the border dots then divide the border dots by two. Then count all the inside dots and add it to the left over border dot and last you subtract by one every single time you use pigs theorem.
ReplyDeleteWe find the square roots of the area to get the lengths of the sides of a square because the formula, border dots divided by two plus inside dots minus one or “Picks Theorem” requires you to find the border or length so that’s what you do. Yes this will work with all squares because I have used it on multiple question its worked for all of them. Finding the square root of a number simplifies the number and makes it a lot easier to work with.
ReplyDelete-gaven busby
You find the square root to find the total units in the shape. To find it you would use picks threom. You would count all of the boarder dot and divide by two. Then count all the inside dots and subtract 1.When you find the square root of a number you just mulitpuly the number times it self like 8x8 and you get 64.
ReplyDeleteAll squares have the same sides, so if we find the square root it will give us how we got the area. This method will work with all squares. The reason this would work with all squares if because all squares have the same lengths for all four of the sides. When you find the square root it gives you two of the side lengths of the square and if you were to multiply the square roots together that would give you the area. (s times s).
ReplyDeleteWe would find the length of the sides because you can know the length of the sides. Also it might ask a question about the side lengths. That method would work with all squares because if they are all squares then they will work. Finding the square root of a number just means that you are finding a number that goes into in evenly.
ReplyDeleteWe find the square root of a square to find side lengths. When you first add up the area from two squares, to find the square root of it. Once you do this you have the area formula, which equals to number you just did the square root of. No, with every square it will not come out equally, but it should work with every square. If you have a triangle that is 5x12, one square is a= 12x 12, the area of this is 144. On the 5 side there is another square that is b= 5x5. The area of this is 25. When you add the areas up 169. You then find the square root of that, because you need the formula for the square, in this case 13x13 because that is the square root of 169. C=13
ReplyDeleteTo find the side lengths of a square, you must find the square root of the area in the square. You must do this procedure because by dividing the area into equal pieces, which is finding the square root. After that, you can then label each of your four equal square sides. This is a very important step because area of a square equals base times the height (or A=BH). If you don’t find the square root, then you can’t find your area without the side lengths. For example, if you had an area of 16 units2 then the square root of 16 (or √16), equals 4 which means that each side length equals 4. To check your answer, you can do 4×4 (or 42) which still equals 16.
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