Gina has 90 meters of yarn.She uses 4 1/2 meters of yarn for every box she makes.How many boxes can she make from the yarn? 1.Wh
1 answer:
Answer:
1) The problem asks for the number of boxes than can be made from the yarn.
2) There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.
3) We need to divide the total length of yarn by the length used to produce a box.
4) 20 boxes.
5) Gina can make 20 boxes from 90 meters of yarn.
Step-by-step explanation:
1) <em>What is asked?</em>
R/ The problem asks for the number of boxes than can be made from the yarn.
2) <em>What are the given facts?</em>
R/ There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.
3) <em>What is the operation to be used?</em>
R/ We need to divide the total length of yarn by the length used to produce a box.
4) <em>What is the number sentence?</em>
R/ 20 boxes.
5) <em>What is the complete answer?</em>
R/ Gina can make 20 boxes from 90 meters of yarn.
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A square has 4 equal sides, which means when you need to work out the area, you're doing length × width, but the length and width are exactly the same, because it's a square (look at the picture if you don't understand this).
That means you just have to pick any side (let's call this side x), and multiply it by another side of the square. Now, because all of the sides are equal, you're doing x multiplied by x, which is the same as x².
Therefore, if the area is equal to x², and in this question, it's also equal to 49 (as stated in the question), we can equate them to each other:
x² = 49
Now to get the x by itself, we need to do the opposite of squaring, which is square rooting. Therefore, we square root both sides of the equation:
√x² = √49
The √ and the ² cancel out, so you're just left with x:
x = √49
The square root of 49 is just 7, so we can replace √49 with 7, and we get:
x = 7
Now remember, earlier, I called x the value of one side. Therefore, by remembering that, you know that the value of one side is equal to 7. And because all the sides are the same as each other, each side is equal to 7 metres.
Therefore, your final answer is 7 metres :)
