Question

relative to pedros home, lancaster is 24 miles due north and springtown is 32 miles due east. one day, pedro decides to run some errands that will require him to leave home and drive to lancaster, then go directly to springtown, and finally return home. how long of a drive will he be making?
□ miles

Explanation:

Step1: Identify known distances

Home to Lancaster: $24$ miles, Home to Springtown: $32$ miles

Step2: Find Lancaster to Springtown distance

Use Pythagorean theorem: $c=\sqrt{a^2+b^2}$
$$c=\sqrt{24^2+32^2}=\sqrt{576+1024}=\sqrt{1600}=40$$

Step3: Calculate total drive distance

Sum all three segments: $24+32+40$

Answer:

96 miles