A wire 32 cm long is cut into two pieces. The longer piece is 2 cm longer than the shorter piece.
Find the length of the shorter piece of wire
if the short piece has length x, then the other piece is x+2, right?
So,
x + x+2 = 32
...
To find the length of the shorter piece of wire, we can set up an equation.
Let's assign a variable to the length of the shorter piece of wire. Let's call it "x".
According to the given information, the longer piece of wire is 2 cm longer than the shorter piece. So, the length of the longer piece can be expressed as "x + 2".
Now, we know that the total length of the wire is 32 cm. So, we can set up an equation:
x + (x + 2) = 32
Simplifying the equation, we have:
2x + 2 = 32
Subtracting 2 from both sides of the equation:
2x = 30
Dividing both sides by 2:
x = 15
Therefore, the length of the shorter piece of wire is 15 cm.