A wire 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.

Respuesta :

27- 5=22 we have  22cm. to work with 22 divided by 2= 11 plus 5= 16 lengths are 16 and 11

Answer:

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

[tex]x+(x+5)=27[/tex]

On combining like terms.

[tex](x+x)+5=27[/tex]

[tex]2x+5=27[/tex]

Subtract 5 from both sides.

[tex]2x=27-5[/tex]

[tex]2x=22[/tex]

Divide both sides by 2.

[tex]x=11[/tex]

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