Question

due on 11.04.2025 10 total points 2 total attempts
answer the question correctly to continue:
marcus walks 8 blocks north from his house, then 15 blocks east to reach the store. if he could walk directly from his house to the store, how much shorter would his trip be? (assume blocks form a grid.)

Explanation:

Step1: Calculate the total blocks walked in the original path

Marcus walks \(8\) blocks north and \(15\) blocks east. The total blocks in the original path is \(8 + 15=23\) blocks.

Step2: Calculate the length of the direct path (using the Pythagorean theorem)

Let the direct path length be \(d\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 8\), \(b=15\). Then \(d=\sqrt{8^{2}+15^{2}}=\sqrt{64 + 225}=\sqrt{289}=17\) blocks.

Step3: Calculate the difference in path lengths

The difference is \(23-17 = 6\) blocks.

Answer:

6 blocks shorter