Garden trapezoid mesh

The garden is a rectangular trapezoid a=50 m, c=30 m, d=15 m. If we add an 8% loss to the calculated length, how many meters of mesh do we need to fence it?

Final Answer:

x =  129.6 m

Step-by-step explanation:

$$\begin{gathered} a=50\text{m} \\ c=30\text{m} \\ d=15\text{m} \\ {b}^2=d^2+(a-c{)}^2 \\ b=\sqrt{d^2+(a-c{)}^2}=\sqrt{15^2+(50-30{)}^2}=25\text{m} \\ o=a+b+c+d=50+25+30+15=120\text{m} \\ r=100\%+8\%=1+\frac{8}{100}=1.08 \\ x=r\cdot o=1.08\cdot 120=129.6\text{m} \end{gathered}$$

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