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?

Result

S =  805.1 m2

Solution:

S+243=S2 a2+243=(a+2⋅2)2 a2+243=a2+2a⋅4+42 243−16=8a a=(243−16)/8=28.38 m  S=a2=28.382=805.1 m2S + 243 = S_2 \ \\ a^2 + 243 = (a+2\cdot 2)^2 \ \\ a^2 + 243 = a^2 + 2a\cdot 4+4^2 \ \\ 243 - 16 = 8 a \ \\ a = (243-16)/8= 28.38 \ m \ \\ \ \\ S =a^2 = 28.38^2 = 805.1 \ m^2

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