The length of a rectangular piece of steel in a bridge is 4 meters less than triple the width. The perimeter of the piece of steel in a bridge is 4 meters less than triple the width. The perimeter of the piece of steel is 48 meters. Find the length of the piece of steel =
find the width of steel =
Not sure. How
To find the length and width of the rectangular piece of steel, we can set up a system of equations using the given information.
Let's denote the width of the steel as "w" and the length as "l".
From the problem, we have two equations:
1) The length is 4 meters less than triple the width: l = 3w - 4
2) The perimeter is 4 meters less than triple the width: 2l + 2w = 3w - 4
Now, let's solve this system of equations:
Substitute the value of l from equation 1 into equation 2:
2(3w - 4) + 2w = 3w - 4
Expand and simplify:
6w - 8 + 2w = 3w - 4
Combine like terms:
8w - 8 = 3w - 4
Subtract 3w from both sides:
8w - 3w - 8 = -4
Simplify:
5w - 8 = -4
Add 8 to both sides:
5w - 8 + 8 = -4 + 8
Simplify:
5w = 4
Divide both sides by 5:
w = 4/5
So, the width of the steel is 4/5 meters.
Now, substitute this value of the width back into equation 1 to find the length:
l = 3(4/5) - 4
Simplify:
l = 12/5 - 20/5
Simplify further:
l = -8/5
Therefore, the length of the piece of steel is -8/5 meters. However, since it does not make sense to have a negative length, we can conclude that there is an error in the problem statement or given information. Please check the problem for any mistakes or inconsistencies.