wire is cut into 2 pieces with one
piece 14 feet shorter than other.The wire was 66 feet before cut,how long is the the shortest lenght of wire,shoe steps to solve
Let x = shortest length, then x+14 = longer length.
x + x + 14 = 66
Solve for x.
x=40,x=26
To find the length of the shortest piece of wire, we need to set up an equation based on the given information.
Let's assume the length of the longer piece of wire is X feet.
According to the given information, the shorter piece is 14 feet shorter than the longer piece. So, the length of the shorter piece would be (X - 14) feet.
When the wire is cut into two pieces, the total length of the wire remains the same. Therefore, the sum of the lengths of the two pieces should be equal to the original length of the wire, which is 66 feet.
So, we can write the equation as follows:
X + (X - 14) = 66
Now let's solve this equation to find the value of X, which represents the length of the longer piece of wire:
2X - 14 = 66 [combined like terms]
2X = 80 [added 14 to both sides]
X = 40 [divided both sides by 2]
Therefore, the longer piece of wire is 40 feet.
To find the length of the shorter piece, we subtract 14 from the length of the longer piece:
40 - 14 = 26
Hence, the shortest length of wire is 26 feet.