A 70-foot roll of fabric is cut into three pieces, with each successive piece twice as long as the previous one. Find the length of the longest piece.
A) 40 ft
B) 30 ft
C) 10 ft
D) 80 ft

Question

Quizplus · Accepted Answer

The total length of the fabric is 70 feet, and it is divided into three pieces in such a way that each piece is twice as long as the previous one. Let the length of the first piece be x. Then, the second piece is 2x, and the third piece is 4x. The sum of these lengths is 7x, which equals the total length of 70 feet. Solving for x gives x = 10 feet. Therefore, the longest piece is 4x = 40 feet.

A 70-Foot Roll of Fabric Is Cut into Three Pieces