Consumption 80836

The right trapezoidal plot has a basic length of 102m and 86m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing.

Correct answer:

l =  316 m
S =  5922 m²

Step-by-step explanation:

$$\begin{gathered} a=102\text{m} \\ c=86\text{m} \\ b=63\text{m} \\ d=\sqrt{(c-a{)}^2+b^2}=\sqrt{(86-102{)}^2+63^2}=65\text{m} \\ l=a+b+c+d=102+63+86+65=316\text{m} \end{gathered}$$

$S=\frac{a+c}{2}\cdot b=\frac{102+86}{2}\cdot 63=5922{\text{m}}^2$

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