Triangular 29781

A triangular building plot is drawn on a 1:5,000 scale plan as a triangle with sides of lengths 32.5 mm, 23.5 mm, and 36 mm. Determine how many m of mesh are needed to fence the entire plot.

Correct answer:

x =  460 m

Step-by-step explanation:

$$\begin{gathered} M=5000 \\ a=32.5\text{mm}\to \text{m}=32.5:1000\text{m}=0.0325\text{m} \\ b=23.5\text{mm}\to \text{m}=23.5:1000\text{m}=0.0235\text{m} \\ c=36\text{mm}\to \text{m}=36:1000\text{m}=0.036\text{m} \\ o=a+b+c=0.0325+0.0235+0.036=\frac{23}{250}=0.092\text{m} \\ x=M\cdot o=5000\cdot 0.092=460\text{m} \end{gathered}$$

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