A rectangular lawn is 65 m long and 34 m wide. Over time, people have walked along a diagonal as a shortcut and have created a straight path. What is the length of the path, to the nearest tenth of a meter? Enter your answer as a deicmal in the box.

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Mathematics

11 April, 20:27

A rectangular lawn is 65 m long and 34 m wide. Over time, people have walked along a diagonal as a shortcut and have created a straight path. What is the length of the path, to the nearest tenth of a meter? Enter your answer as a deicmal in the box.

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Farley · Answer 1

To calculate the length of the diagonal, use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the diagonal.

c^2 = 65^2 + 34^2

c^2 = 4225 + 1156

c^2 = 5381

c ~ 73.36

To the nearest tenth of a meter, the diagonal has a length of 73.4 m