Building plot house

The building plot has a shape with dimensions of 28 m and 34 m. Mr. Black built a house on it with 920 cm and 1250 cm dimensions. Calculate the area of the plot. How much of the plot does the house occupy? How many square meters of land does Mr. Black have left for his garden?

Final Answer:

S =  952 m²
p =  115/952
S₃ =  837 m²

Step-by-step explanation:

$$\begin{gathered} a=28\text{m} \\ b=34\text{m} \\ x=920\text{cm}\to \text{m}=920:100\text{m}=9.2\text{m} \\ y=1250\text{cm}\to \text{m}=1250:100\text{m}=12.5\text{m} \\ S=a\cdot b=28\cdot 34=952{\text{m}}^2 \end{gathered}$$

$$\begin{gathered} S_2=x\cdot y=9.2\cdot 12.5=115{\text{m}}^2 \\ p=S_2/S=115/952=\frac{115}{952}=0.1208 \end{gathered}$$

$S_3=S-S_2=952-115=837{\text{m}}^2$

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