an electrician cuts a 29 foot piece of wire into two pieces. one piece is 4 feet longer than the other piece.how long is each piece?
x + x + 4 = 29
2x + 4 = 29
2x = 25
x = 12.5
To find the lengths of the two pieces, we can set up a simple equation:
Let's assume the length of the shorter piece is x feet. Therefore, the length of the longer piece would be x + 4 feet.
According to the given information, when the electrician cuts the wire into two pieces, the total length remains 29 feet:
x + (x + 4) = 29
Simplifying the equation, we have:
2x + 4 = 29
Next, we isolate the variable x by subtracting 4 from both sides of the equation:
2x = 25
To solve for x, we divide both sides of the equation by 2:
x = 12.5
So, the length of the shorter piece is 12.5 feet and the length of the longer piece is 12.5 + 4 = 16.5 feet.