Answer:
Therefore if Sammy hits a home run she has to run a distance of 565.5 feet around the bases.
Step-by-step explanation:
i) local baseball field is a diamond.
ii)distance from base to second base is 100 feet
iii) Therefore the distance from home to first base is also 100 feet
iv) distance from base to base [tex]= \sqrt{100^{2} + 100^{2} } = 100\sqrt{2} = 100\times1.414 = 141.4\\[/tex]
since there are 4 bases the the perimeter of the diamond baseball field , that is the distance around the bases [tex]4 \times 141.4 = 565.5 feet[/tex]
Therefore if Sammy hits a home run she has to run a distance of 565.5 feet around the bases.