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draw a rectangle with the same area but with no side links the same as those of the given rectangle so here is our given rectangle and we want to draw a rectangle with the same area the same area so what is the area of this rectangle area is the amount of space a shape covers so how much space or how many square units does this shape cover does our rectangle cover each of these is one square unit so our rectangle covers one two three four five six seven eight square units it has an area of eight square units so we want to draw another rectangle that also covers eight square units if it covers eight square units then it has an area of eight square units but we can't just draw the identical rectangle because we're also told that it should have our rectangle should have no side links the same so what are the side lengths of our rectangle over here on the left is one unit long and going across the top is eight units long this rectangle had eight square units and they were broken up into one row of eight so we need to think of another way that we can break up eight square units one idea would be two rows of four because two rows of four would also cover eight so let's try that let's create a rectangle here two rows of four and we can just spread this out a little bit so it covers the whole square units and so this rectangle also covers one two three four five six seven eight square units so the given rectangle and our rectangle have the same area because they cover the same amount of space but they have different side lengths because our new rectangle is has a side length of two over here on the side it's two units long and going across the top is four units long so it has new side lengths so here's one way that we could draw rectangle with the same area but different side lengths