Fencing a Rectangular Plot

The Henderson family bought a rectangular plot measuring 30 and one-half by 26 and two-thirds meters. Before they start building, they want to fence it. How many meters of the mesh must they buy if they leave 23/8 meters for the gate?

Final Answer:

x =  111.4583 m

Step-by-step explanation:

$$\begin{gathered} a=30+1/2=\frac{61}{2}=30.5\text{m} \\ b=26+2/3=\frac{80}{3}\doteq 26.6667\text{m} \\ c=23/8=\frac{23}{8}=2.875\text{m} \\ x=2\cdot (a+b)-c=2\cdot (30.5+26.6667)-2.875=\frac{2675}{24}\text{m}=111.4583\text{m} \end{gathered}$$

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