Question

a rod is 65 feet cut in three pieces. the longest is 3.56 times the shortest and the middle is 2.67 times the shortest. What is the measure of pieces of the rod.

Answer 1

Given,

The length of the rod is 65 feet.

The length of the longest piece is 3.56 times of the shortest piece.

The length of the middle piece is 2.67 times of the shortest piece.

Required

The measure of the pieces of the rod.

Consider,

The shortest piece of the rod is x.

The length of the middle piece is 2.67x.

The length of the longest piece is 3.56 x.

According to the question,

`\begin{gathered} x+2.67x+3.56x=65 \\ 7.23x=65 \\ x=8.99 \end{gathered}`

The length of the shortest piece is 8.99 feet.

The length of the middle piece is 2.67x = 2.67(8.99) = 24 feet

The length of the longest piece is 3.56x = 3.56 (8.99) =