Solve.
-A 10-ft. board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.
A) shorter piece: 28 ft; longer piece: 30 ft
B) shorter piece: 5 ft; longer piece: 30 ft
C) shorter piece: 2 ft; longer piece: 8 ft
D) shorter piece: 6 ft; longer piece: 32 ft

Question

Quizplus · Accepted Answer

The equation based on the given information is $x + (3x + 2) = 10$. Solving for $x$ gives $x = 2$, so the shorter piece is 2 ft and the longer piece is $3(2) + 2 = 8$ ft.

Solve. -A 10-Ft. Board Is Cut into 2 Pieces So That