Flowerbed 2

Around the square flower bed in a park is sidewalk 2 m wide. The area of ​​this sidewalk is 243 m². What is the area of the flowerbed?

Correct answer:

S =  805.1 m²

Step-by-step explanation:

$$\begin{gathered} S+243=S_2 \\ {a}^2+243=(a+2\cdot 2{)}^2 \\ {a}^2+243=a^2+2a\cdot 4+4^2 \\ 243-16=8a \\ a=(243-16)\mathrm{/}8=28.38m \\ S=a^2=28.38^2=805.1{\text{m}}^2 \end{gathered}$$

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