Garden

Rectangular garden has a length 99 m and width 84 m. Calculate how many m2 will decrease its area if land by ornamental fence with width 30 cm.

Result

S =  109.44 m2

Solution:

a=99 m b=84 m h=30 cm→m=30/100 m=0.3 m  S1=a⋅ b=99⋅ 84=8316 m2 S2=(a−2⋅ h)⋅ (b−2⋅ h)=(99−2⋅ 0.3)⋅ (84−2⋅ 0.3)=8206.56 m2  S=S1−S2=8316−8206.56=273625=109.44 m2a=99 \ \text{m} \ \\ b=84 \ \text{m} \ \\ h=30 \ cm \rightarrow m=30 / 100 \ m=0.3 \ m \ \\ \ \\ S_{1}=a \cdot \ b=99 \cdot \ 84=8316 \ \text{m}^2 \ \\ S_{2}=(a-2 \cdot \ h) \cdot \ (b-2 \cdot \ h)=(99-2 \cdot \ 0.3) \cdot \ (84-2 \cdot \ 0.3)=8206.56 \ \text{m}^2 \ \\ \ \\ S=S_{1}-S_{2}=8316-8206.56=\dfrac{ 2736 }{ 25 }=109.44 \ \text{m}^2

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