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Regan lives 4.6 kilometers due south of her parents' house and 4.1 kilometers west of her grandparents' house. On her birthday, Regan drove from her house to her parents' house. From there, she drove in a straight line to her grandparents' house and then back home. How far did Regan drive on her birthday? If necessary, round to the nearest tenth.

 Dec 4, 2015
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Let the distance between her parents' house and her grandparents' house=D

But we have:

D^2=4.6^2 + 4.1^2

D^2=37.97 take the sqrt of both sides,

D=6.2Km, therefore Regan drove:

4.1 + 4.6 + 6.2=14.9Km. total distance that Regan grove on her birthday.

 Dec 4, 2015

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