Question

A 20-foot piece of siding is cut into three pieces so that the second piece is four times as long as the first piece and the third piece is five times as long as the first piece. If x

Krepresents the length of the first piece, find the lengths of all three pieces.
The length of the first piece of siding is
long, the length of the second piece is
long, and the length of the third piece is
long.

Answer 1

Shortest piece is 2 feet

The middle piece is 8 feet

The longest piece is 10 feet

Explanation:

Let x = the shortest piece

Let 4x = second longest piece

Let 5x = longest piece

x + 4x + 5x = 20 Combine like terms

10x = 20 Divide both sides by 10

x = 2

4x = 4(2) = 8

5x = 5(2) = 10