Answer:
k=3
Step-by-step explanation:
Since we know for a fact, thanks to it being given in your question, that the triangles are similar, that means the lengths are proportionate.
Secondly, you should notice a trend between both shapes. ΔPQRs sides are half of ΔDEFs.
With that in mind, we can conclude that for side K, it's half of 6, so 3! :D
let's notice the tickmarks on the left and right sides, meaning those two sides are twins, and therefore equal, so the perimeter is simply 2.5+2.5+3.5+2.5 = 11 ft.
the trapezoid has an altitude/height of 2 ft, thus