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

question 472

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) \(11 \mathrm {~cm} ; 22 \mathrm {~cm} ; 47 \mathrm {~cm}\)

---

Definitions:

Bacon's Rebellion

A 1676 uprising in colonial Virginia, led by Nathaniel Bacon, against the colony's government for its failure to protect settlers from Native American raids.

Virginia

A state located in the Southeastern and Mid-Atlantic regions of the United States, known for its significant contributions to the formation of the nation's history and government.

Puritans

A religious group in the 16th and 17th centuries advocating for purification of the Church of England from Roman Catholic practices.

English Civil War

A series of armed conflicts and political machinations between Parliamentarians ("Roundheads") and Royalists ("Cavaliers") over governance and authority in England during the mid-17th century.