Decorative fence

The rectangular garden is 57 m long and 42 m wide. Calculate how much m² it will reduce if it encloses with a 60 cm wide decorative fence.

Correct result:

S =  117.36 m2

Solution:

$a=57 \ \text{m} \ \\ b=42 \ \text{m} \ \\ p=60 \ cm \rightarrow m=60 / 100 \ m=0.6 \ m \ \\ \ \\ S_{1}=a \cdot \ b=57 \cdot \ 42=2394 \ \text{m}^2 \ \\ S_{2}=(a-2 \cdot \ p) \cdot \ (b-2 \cdot \ p)=(57-2 \cdot \ 0.6) \cdot \ (42-2 \cdot \ 0.6)=\dfrac{ 56916 }{ 25 }=2276.64 \ \text{m}^2 \ \\ \ \\ S=S_{1}-S_{2}=2394-2276.64=\dfrac{ 2934 }{ 25 }=117.36 \ \text{m}^2$

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