A wire 22 cm long is cut into two pieces. The longer piece is 2 cm longer than the shorter piece.

glamrockqueen7

glamrockqueen7

Answered question

2021-02-13

A wire 22 cm long is cut into two pieces. The longer piece is 2 cm longer than the shorter piece.

Answer & Explanation

Luvottoq

Luvottoq

Skilled2021-02-14Added 95 answers

Let the shorter piece's length be xx cm. The longer piece is x+2 cm because it is 2 cm longer than the shorter piece.
The two sections' aggregate length is then x+(x+2)=2x+2 cm. Given that the wire's original length was 22 cm, 2x+2=22.
In order to solve 2x+2=22, we must first isolate the variable term of 2x and then, using inverse operations, isolate the variable of xx.
Since subtraction is the inverse process of addition, we must subtract 2 on both sides to isolate the 2x because 2 is being added to the 2x. 2 is subtracted from both sides to yield:
2x+2−2=22−2​ 
2x=20 
Since division is the inverse action of multiplication, we must divide both sides by 2 to separate the xx since the xx is being multiplied by 2. Divide both sides by 2, and you get:
2x2=202 
x=10 
The shorter piece's length is then x=10 cm and the longer piece's length is  x+2=10+2=12 cm

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