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I'm assuming by "cottage style roof" you mean the shape which is sort-of achieved by using two trapezium shapes to depict the front and back of the roof (shorter edge being the uppermost edge) and then using two triangles for both the sides. (A trapezium shape is like half a hexagon).
If this is the case, you calculate the area of the front of the roof by measuring the lower edge of the trapezium/roof and adding that measurement to the upper edge of the trapezium/roof, dividing by two, then multiplying by the distance between the upper and lower edge. (I.e exactly the same as finding the area of a trapezium).
Assuming the back of the roof is the same, multiply the "front of the roof" measurement by 2. This gives you the area of "front and back of roof".
To include the sides of the roof, measure the lower edge of the triangle-like shape and multiply by the vertical height. Add this measurement to the "front and back of roof measurement" to get "total area of roof".
If you have kept all measurements in feet during the process, you will end up with "total area of roof in square feet" as required.
Of course, it's possible that the roof may not fit the description of specific shapes, in which case it's best to make an estimate then add on a bit extra.
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