Path 11

A path 1.5 metres wide is to be built around the perimeter of a square plot of land with a side of 28 metres. By how much will the total occupied area increase?

Final Answer:

S =  159 m²

Step-by-step explanation:

$$\begin{gathered} a=28\text{m} \\ x=1.5\text{m} \\ b=a-2\cdot x=28-2\cdot 1.5=25\text{m} \\ {S}_1=a^2=28^2=784{\text{m}}^2 \\ {S}_2=b^2=25^2=625{\text{m}}^2 \\ S=S_1-S_2=784-625=159{\text{m}}^2 \end{gathered}$$

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