The area of a parallelogram is twice that of the two triangles that are formed by the line transecting it. (Sort of like finding out how many cows you have by counting eyes and dividing by two.)
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Find the areas of the rectangles and triangles. Add them together.
The areas are proportional to the square of the scale factor.
Split the area up into shapes for which you can work out the area: rectangles and triangles. Then the area of the original room is the sum of all the areas.
I'll be happy to help you, but in order for me to compare the areas of those triangles, you have to tell me the areas of those triangles.
The formula depends on what shape you're working with. Triangles, circles, parallelograms, squares, trapezoids, ellipses, hexagons, prisms, cones, spheres, cylinders, etc. all have different formulas for their areas.