Garden G

The rectangular, trapezoidal garden has a base length of 81m, 76m, and a vertical arm of 12m. Calculate how many m² of the area will remain for planting greenery if 1/3 of the area is built. Calculate the consumption of mesh for land fencing.

Correct answer:

S =  1256 m²
o =  182 m

Step-by-step explanation:

$$\begin{gathered} a=81\text{m} \\ c=76\text{m} \\ d=12\text{m} \\ {S}_1=\frac{a+c}{2}\cdot d=\frac{81+76}{2}\cdot 12=942{\text{m}}^2 \\ S=S_1+\frac{1}{3}\cdot S_1=942+\frac{1}{3}\cdot 942=1256{\text{m}}^2 \end{gathered}$$

$$\begin{gathered} b=\sqrt{d^2+(a-c{)}^2}=\sqrt{12^2+(81-76{)}^2}=13\text{m} \\ o=a+b+c+d=81+13+76+12=182\text{m} \end{gathered}$$

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