Question

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?

Answer 1

73.4

Explanation:

They are basically asking the length of the hypotenuse. We can use the Pythagorean Theorem to solve this problem. In right triangles,
`a^(2)+b^(2)=c^(2)` We already know a and b, so we just need to plug them in.
`65^(2) +34^(2) = c^(2)` Simplify further.
`4225+1156=c^(2)` Now add.
`5381 = c^(2)` Do the opposite and find the square root of 5381. Round your answer to the nearest tenth to get 73.4

Answer 2

65²+34²=n²
n²=5381
n=±73.36 m as the length of the path
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