Question

julius sprinted 68 meters. reece sprinted diagonally across a rectangular field that measures 16 meters by 63 meters. who sprinted a longer distance, and by how many meters?

Explanation:

Step1: Calculate Reece's sprint distance

Use the Pythagorean theorem \(c=\sqrt{a^{2}+b^{2}}\) for a right - triangle (where \(a = 16\), \(b=63\) and \(c\) is the diagonal of the rectangle).

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Step2: Compare the distances

Julius sprinted \(d_{1}=68\) meters. Reece sprinted \(d_{2} = 65\) meters.
Find the difference: \(68-65=3\)

Answer:

Reece sprinted a longer distance by \(3\) meters.