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=30/100 m=0.3 m  S1=a b=99 84=8316 m2 S2=(a2 h) (b2 h)=(992 0.3) (842 0.3)=8206.56 m2  S=S1S2=83168206.56=273625=109.44=109.44 m2a = 99 \ m \ \\ b = 84 \ m \ \\ h = 30 \ cm = 30 / 100 \ m = 0.3 \ m \ \\ \ \\ S_{ 1 } = a \cdot \ b = 99 \cdot \ 84 = 8316 \ 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 \ m^2 \ \\ \ \\ S = S_{ 1 }-S_{ 2 } = 8316-8206.56 = \dfrac{ 2736 }{ 25 } = 109.44 = 109.44 \ m^2







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