Estate

An estate has the shape of a right-angled trapezoid with parallel sides of 35 m and 65 m, and a perpendicular leg of 34 m. Calculate the total length of its fence.

Final Answer:

l =  179.3 m

Step-by-step explanation:

$$\begin{gathered} a=35\text{m} \\ c=65\text{m} \\ h=34\text{m} \\ d=\sqrt{(c-a{)}^2+h^2}=\sqrt{(65-35{)}^2+34^2}=2\sqrt{514}\text{m}\doteq 45.3431\text{m} \\ l=a+c+d+h=35+65+45.3431+34=179.3\text{m} \end{gathered}$$

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