Justin walked his dog 2 blocks west,6 blocks north,2 blocks east, and 6 blocks south. then he walked he walked his other dog the same route. how many blocks did justin walk in all?

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

10 - 75

step-by-step explanation:

there's nothing attached so it's most likely anything in that range.