Solve the Problem Using Matrices $80 \mathrm {~cm}$ the Sum of the Two Longer Pieces Is

Multiple Choice

Solve the problem using matrices.
-Jerry has three pieces of string. The total length is $80 \mathrm {~cm}$ . The sum of the two longer pieces is $69 \mathrm {~cm}$ . The middle piece is twice as long as the shortest piece. What are the lengths of the three pieces?

A) $5.5 \mathrm {~cm} ; 11 \mathrm {~cm} ; 63.5 \mathrm {~cm}$
B) $11 \mathrm {~cm} ; 47 \mathrm {~cm} ; 57 \mathrm {~cm}$
C) No solution
D) $11 \mathrm {~cm} ; 22 \mathrm {~cm} ; 47 \mathrm {~cm}$