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.

Correct answer:

S =  109.44 m²

Step-by-step explanation:

$$\begin{gathered} a=99\text{ m } \\ b=84\text{ m } \\ h=30\text{ cm}\to \text{ m}=30\mathrm{/}100\text{ m}=0.3\text{ m } \\ {S}_1=a\cdot b=99\cdot 84=8316{\text{m}}^2 \\ {S}_2=(a-2\cdot h)\cdot (b-2\cdot h)=(99-2\cdot 0.3)\cdot (84-2\cdot 0.3)=8206.56{\text{m}}^2 \\ S=S_1-S_2=8316-8206.56={\displaystyle \frac{2736}{25}}={\displaystyle \frac{2736}{25}}{\text{m}}^2=109.44{\text{m}}^2 \end{gathered}$$

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