Question

use the information to answer the question. saul and felipe are standing at the corner of a rectangular park. they will race to the op saul runs at a constant rate of 8 feet per second along the sidewalk that surrounds th goes straight from one corner to the other. how fast, in feet per second, must felipe walk to finish the race at the same time answer in the box. feet per second

Explanation:

Step1: Calculate Saul's total distance

$400 + 256 = 656$ feet

Step2: Find Saul's race time

$\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{656}{8} = 82$ seconds

Step3: Calculate Felipe's distance (Pythagorean theorem)

$$\text{Distance} = \sqrt{400^2 + 256^2} = \sqrt{160000 + 65536} = \sqrt{225536} = 474.906 \approx 475 \text{ feet}$$

Step4: Find Felipe's required speed

$\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{475}{82} \approx 5.79$ feet per second

Answer:

5.79 feet per second