Answer:
Step-by-step explanation:
To calculate the perimeter of the swimming pool, we can use the formula,
[tex]\sf Perimeter = 2( length + width) \\ [/tex]
Given that Carlos wants to put a fence around his rectangular swimming pool his pool is 18 3/10 meters long and 10 2/5 meters wide.
[tex]\sf Length = 18 \dfrac{3}{10} \ meters \\ \\ \sf = \dfrac{183}{10} \ meters [/tex]
[tex]\sf Width = 10 \dfrac{2}{5} \ meters \\ \\ \sf = \dfrac{52}{5} \ meters [/tex]
Substitute the given values:
[tex] \sf P = 2 \times \bigg (\dfrac{183}{10} + \dfrac{52}{5} \bigg) \\ \\ [/tex]
[tex] \: \: \: \: \sf = 2 \times \dfrac{915 + 104} {50} \\ \\ [/tex]
[tex] \: \: \: \: \sf = 2 \times \dfrac{1435}{50} \\ \\[/tex]
[tex] \: \: \: \: \sf = \dfrac{574}{10}\\ \\ [/tex]
[tex] \: \: \: \: \sf = 57.4 \ meters\\[/tex]
Therefore, the perimeter of the swimming pool is 57.4 meters.
