Please solve question 75
2 answers:
<h3>Answer: C) 36</h3>
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Explanation:
Check out the attached image below. Basically I drew out the given diagram and then I added the variables a,b,c,d,e,f,g. Those variables represent the side lengths of the 7 squares. Each square has a perimeter of 4*s where s is the side length, but we dont consider the side that is running along the dashed line (that connects P directly to Q). So we have 3 sides per square added up.
The first square has us travel a distance of 3*a, then the second square a distance of 3*b and so on. Overall, the total distance traveled is
3a+3b+3c+3d+3e+3f+3g = 3(a+b+c+d+e+f+g)
The goal is to figure out what a+b+c+d+e+f+g is equal to. This is equal to the length of segment PQ since the 7 letters are pieces of segment PQ (i.e., I'm using the segment addition postulate).
In other words,
a+b+c+d+e+f+g = 12
3(a+b+c+d+e+f+g) = 3*12
3(a+b+c+d+e+f+g) = 36
Total distance traveled = 36
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