The schoolyard

The schoolyard had the shape of a square with an 11m side. The yard has been enlarged by 75 m² and has a square shape again. How many meters was each side of the yard enlarged?

Correct result:

x =  3 m

Solution:

$$\begin{gathered} a=11\text{ m } \\ {S}_1=a^2=11^2=121{\text{m}}^2 \\ {S}_2=S_1+75=121+75=196{\text{m}}^2 \\ b=\sqrt{S_2}=\sqrt{196}=14\text{ m } \\ x=b-a=14-11=3\text{ m} \end{gathered}$$

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