3-room

Calculate the area of ​​a 3-room apartment if you know that 2 rooms (bedroom and children's) are the same size, both have the shape of a square with sides of 3 m. The living room has the shape of a rectangle with dimensions of 4 m x 5 m. The area of ​​the bathroom is one third of the area of ​​the living room and the area of ​​the kitchen is 50% of the area of ​​the living room. The remaining space is 6 m².

Final Answer:

S =  60.67 m²

Step-by-step explanation:

$$\begin{gathered} a=3\text{m} \\ {S}_1=a^2=3^2=9{\text{m}}^2 \\ {S}_2=4\cdot 5=20{\text{m}}^2 \\ r=50\%=\frac{50}{100}=\frac{1}{2}=0.5 \\ {S}_3=S_2/3=20/3=\frac{20}{3}\doteq 6.6667{\text{m}}^2 \\ {S}_4=r\cdot S_2=0.5\cdot 20=10{\text{m}}^2 \\ {S}_5=6{\text{m}}^2 \\ S=2\cdot S_1+S_2+S_3+S_4+S_5=2\cdot 9+20+6.6667+10+6=60.67{\text{m}}^2 \end{gathered}$$

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