Six square windows of side length 2 m are to be placed into 12 m wide by 8.5 m high wall as shown. The windows are to be positioned so that the vertical spacing between the windows and the wall edges are equal. Similarly, the horizontal spacings are also equal.

Question

a i) Find the horizontal distance between the windows.
ii) Find the vertical distance between the windows.

b) Find the area of the wall not including the window spaces.

c) If the wall included 3 rows of 4 windows (instead of 2 rows of 3) investigate if it would be possible to space all the windows so that the horizontal and vertical spacings are uniform (although not necessarily equal to each other).

Answer 1

The width is 12m. The 3 windows in a row require 6m
That leaves 6m to divide into 4 equal parts of 1.5m each

The height is 8.5m. The two windows in each column use up 4m
That leaves 4.5m to divide into 3 equal parts of 1.5m each

I think you can probably finish it up now. If you get stuck, come back and show us what you have done.