1)
kwadratowe okno: [tex]S_1=a^2=1cm*1cm=1cm^2[/tex]
prostokątne okno: [tex]S_2=ab=1cm*2cm=2cm^2[/tex]
okno dachowe: [tex]S_3=\cfrac{ah}{2}=\cfrac{2.5cm*1cm}{2}=\cfrac{2.5cm^2}{2}=1.25cm^2[/tex]
drzwi: [tex]S_4=1.5cm*4cm=6cm^2[/tex]
2)
[tex]S_5=ab-S_1-S_2-S_3=5cm*10cm-1cm^2-2cm^2-6cm^2=41cm^2[/tex]
3)
[tex]S_6=\cfrac{ah}{2}=\cfrac{10cm*4cm}{2}=20cm^2\\\cfrac{S_6}{S_3}=\cfrac{20cm^2}{1.25cm^2}=16[/tex]
Wymiary rzeczywiste:
[tex]S_1=50cm*50cm=0.5m*0.5m=0.25m^2\\S_2=50cm*100cm=0.5m*1m=0.5m^2\\S_3=\cfrac{125cm*50cm}{2}=\cfrac{1.25m*0.5m}{2}=0.3125m^2\\S_4=75cm*200cm=0.75m*2m=1.5m^2\\S_5=250cm*500cm-0.25m^2-0.5m^2-0.3125m^2\\=2.5m*5m-0.25m^2-0.5m^2-0.3125m^2=12.5m^2-0.25m^2-0.5m^2-0.3125m^2\\=11.4375m^2\\S_6=\cfrac{500cm*200cm}{2}=\cfrac{5m*2m}{2}=5m^2[/tex]