Let ABC be a right triangle with m(A)=90∘. Let APQR be a square with area 9 such that P∈[AC], Q∈[BC], R∈[AB]. Let KLMN be a square with area 8 such that N,K∈[BC], M∈[AB], and L∈[AC]. What is ∣AB∣+∣AC∣?<spanclass=′latex−bold′>(A)</span>8<spanclass=′latex−bold′>(B)</span>10<spanclass=′latex−bold′>(C)</span>12<spanclass=′latex−bold′>(D)</span>14<spanclass=′latex−bold′>(E)</span>16