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