Awire 27 cm long is cut into two pieces. the longer piece is 5cm longer than the shorter piece. find the length of the shorter piece of wire.

The length of the shorter piece of wire is 11 cm.

Step-by-step explanation:

It is given that a wire 27 cm long is cut into two pieces.

Let the length of shorter piece be x cm.

The longer piece is 5cm longer than the shorter piece. So,

The length of longer piece = x+5 cm

The sum of both pieces is equal to 27.

Shorter piece + Longer piece = 27

On combining like terms.

Subtract 5 from both sides.

Divide both sides by 2.

Therefore, the length of the shorter piece of wire is 11 cm.