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?

Result

p =  69.73 %

Solution:

a=35 m b=18.5 m  c=14 m  S1=a⋅ b=35⋅ 18.5=12952=647.5 m2 S2=c2=142=196 m2  p=S1−S2S1⋅ 100=647.5−196647.5⋅ 100≐258037≐69.7297≐69.73%a=35 \ \text{m} \ \\ b=18.5 \ \text{m} \ \\ \ \\ c=14 \ \text{m} \ \\ \ \\ S_{1}=a \cdot \ b=35 \cdot \ 18.5=\dfrac{ 1295 }{ 2 }=647.5 \ \text{m}^2 \ \\ S_{2}=c^2=14^2=196 \ \text{m}^2 \ \\ \ \\ p=\dfrac{ S_{1}-S_{2} }{ S_{1} } \cdot \ 100=\dfrac{ 647.5-196 }{ 647.5 } \cdot \ 100 \doteq \dfrac{ 2580 }{ 37 } \doteq 69.7297 \doteq 69.73 \%

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