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Answer :

To find the distance between two points (x1, y1) and (x2 , y2)

we will use the form:

[tex]d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}[/tex]

as one of the points at the origin (0 , 0) and the other point will be (-50 , 25)

Note: the point (-50, 25) one of the corners of the Pole Barn, it is the closest corner to the stock tank

So, the distance will be:

[tex]d=\sqrt[]{(-50-0)^2+(25-0)^2}=\sqrt[]{50^2+25^2}=\sqrt[]{2500+625}=\sqrt[]{3125}=55.9[/tex]