Rectangular land

On a rectangular land with dimensions of 35 m and 18.5 m is a house with a square floor plan with a side of 14 m. What % of the land is not occupied?

Correct answer:

p =  69.7297 %

Step-by-step explanation:

$$\begin{gathered} a=35\text{ m } \\ b=18.5\text{ m } \\ c=14\text{ m } \\ {S}_1=a\cdot b=35\cdot 18.5={\displaystyle \frac{1295}{2}}=647.5{\text{m}}^2 \\ {S}_2=c^2=14^2=196{\text{m}}^2 \\ p={\displaystyle \frac{S_1-S_2}{S_1}}\cdot 100={\displaystyle \frac{647.5-196}{647.5}}\cdot 100={\displaystyle \frac{2580}{37}}\mathrm{\%}=69.7297\mathrm{\%} \end{gathered}$$

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