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Fill in the blank: Three square yards equals what square feet.
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In this question, we need to convert an area square yards into an area of square feet.
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And we know that they’re areas because the units are squared and not just yards, for example, or feet.
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We can recall that in one yard, there are three feet.
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Let’s see if we can change this conversion of lengths into a conversion for areas.
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Let’s imagine that we have a square of length one yard.
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To find the area of this square, we would multiply the length by the length, giving us one times one, which we could evaluate as one.
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So, we know that the area here is one square yard.
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But let’s imagine then, instead of measuring our length in yards, we wrote it in feet.
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And since we know that in one yard, there’s three feet, we could also write our length as three feet.
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And since both lengths in our square are the same, this means that the length on the other side is also three feet.
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So, working out the area of our square in feet, this would be the same as saying three times three, which is nine square feet.
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So, this means that we’ve worked out a conversion for our areas.
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One square yard is equal to nine square feet.
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And we can use this conversion to help us answer the question.
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If we have three square yards, that’s the same as three lots of one square yard.
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So, to find our answer in square feet, we can say that that’s the same as three lots of nine, which is 27.
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So, our answer is three square yards is the same as 27 square feet.