Answer to Question #100896 in Geometry for ibo

Question

There is a building that is under construction. The unique thing about this building is that it has all its sides equal and has an angle of 90° from floor. Now there is a problem that engineers are facing... That is they forget to leave a place for the window in two of the walls.
Now, you have to help the engineers in deriving a formula for a window in a wall that has all its sides equal and is forming a 90°angle from all its side.
Engineers have given you the following information,
1. One side of wall is 12m
2. One side of a window is of 200cm.
There is also one condition, while making a window it is must to keep the window exactly in the middle of wall.
You are required to derive a formula for....
1. Area of wall
2. Area of window
Also, sketch the figure for this problem.
Good luck.

Answer 1

If the window has to be in the middle of the wall then the window must be a square of dimension 200x200

so the area of the window = (200*200)cm² = 40000cm² = 4m²

area of the wall including the window =(12*12)m² = 144m²

area of the wall excluding the window area = (144-4)m² = 140m²

Figure of the above problem is attached below