Rectangular 82270

The plot has a rectangular shape of 10.5 m and 15.5 m. A square cabin with a side of 50 dm is built on the plot. How many square meters is the rest of the plot?

Correct answer:

x =  137.75 m²

Step-by-step explanation:

$$\begin{gathered} a=10.5\text{m} \\ b=15.5\text{m} \\ c=50\text{dm}\to \text{m}=50:10\text{m}=5\text{m} \\ {S}_1=a\cdot b=10.5\cdot 15.5=\frac{651}{4}=162.75{\text{m}}^2 \\ {S}_2=c^2=5^2=25{\text{m}}^2 \\ x=S_1-S_2=162.75-25=137.75{\text{m}}^2 \end{gathered}$$

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