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What is the difference in area between a square of side six and a rectangle that is one by six?
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Well the method for working out the area of a square is just the same as working out the area of a rectangle, length times width.
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But with squares, the length is the same size as the width.
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So we’ve got a square of side six, that means the length and the width are both six, and a rectangle that’s got one side of length one and the other side of length six.
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Now, I labelled the length and width this way round, but if I could have labelled it the other way round, it wouldn’t actually have made any difference.
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So to work out the area of each shape, I’ve got to do length times width.
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And for the square, that’s six times six, which is thirty-six.
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And for the rectangle, that would be six times one, which is just six.
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So the difference in area between those two shapes is thirty-six take away six.
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And that is thirty.
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The area is always measured in square units.
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But in this case, we don’t know what the units are, whether they’re metres or yards or whatever.
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So we’ll just give our answer as square units, so thirty square units or thirty units squared.