Question

ava walks diagonally across a rectangular park. the park is 10 meters wide, and the diagonal path is 26 meters long. how long is the park? 16 m 24 m 18 m 20 m

Explanation:

Step1: Apply Pythagorean theorem

Let the length of the park be \( l \). According to the Pythagorean theorem \( a^{2}+b^{2}=c^{2} \), where \( a = 10\) (width), \( c = 26\) (diagonal), and \( b=l \) (length). So \( l^{2}+10^{2}=26^{2} \).

Step2: Simplify the equation

$$
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$$

Step3: Solve for \( l \)

Take the square root of both sides: \( l=\sqrt{576} \). Since length cannot be negative, \( l = 24\).

Answer:

\(24\) m