Question

A board 1.2 m long is cut into two so that the length of the longer piece is 15cm longer than twice the length of the shortest piece,How long is the shorter piece

Answer 1

The length of the shorter piece=0.35 m

Explanation:

Let the lengths be as follow;

Shorter piece=x

Longer piece=15 cm longer than twice shorter piece(x)

Since 1 m=100 cm, 15 cm=15/100=0.15 m

Longer piece= (2×x)+0.15=2x+0.15

Total length=1.2 m

Total length=shorter piece+longer piece

Replacing;

1.2=x+2x+0.15

3x=1.2-0.15

3x=1.05

x=(1.05/3)=0.35

The length of the shorter piece=x=0.35