The length of a rectangular piece of steel in a bridge is 5 meters less than double the width. The perimeter of the piece of steel is 38 meters. Find the length of the piece of steel. Find the width of the piece of steel.

L = 2W - 5

P = 38 = 2L + 2W

Now we have 2 equations we can solve for each variable.

2L + 2W = 38
2(2W-5) + 2(W) = 38
4W-10+2W = 38
6W = 48
W = 8

L = 2W-5
L = 2(8)-5 = 11

Width - 8m
Length - 11m

Let's assume the width of the piece of steel is "x" meters.

According to the problem, the length of the piece of steel is 5 meters less than double the width.
So, the length of the piece of steel would be 2x - 5 meters.

The perimeter of a rectangle is calculated by adding all four sides.
Since there are two sides with length x and two sides with length 2x - 5, the perimeter is given as:
Perimeter = x + x + (2x - 5) + (2x - 5)

Given that the perimeter is 38 meters, we can set up the following equation:
38 = x + x + 2x - 5 + 2x - 5

Now, let's solve the equation step-by-step:
38 = 6x - 10
Add 10 to both sides: 38 + 10 = 6x - 10 + 10
48 = 6x
Divide both sides by 6: 48/6 = 6x/6
8 = x

Therefore, the width of the piece of steel is 8 meters.

Now, let's substitute the value of the width into the equation for the length:
Length = 2x - 5
Length = 2 * 8 - 5
Length = 16 - 5
Length = 11

Therefore, the length of the piece of steel is 11 meters.

To find the length of the piece of steel, let's call the width of the sheet "w" meters. According to the problem, the length is 5 meters less than double the width, which can be expressed as 2w - 5 meters.

To find the perimeter, we sum the lengths of all four sides: 2w + 2(2w - 5).

We know that the perimeter is 38 meters, so we can set up the following equation:

2w + 2(2w - 5) = 38

Next, we simplify the equation:

2w + 4w - 10 = 38

Combining like terms:

6w - 10 = 38

Now, let's isolate the variable by adding 10 to both sides of the equation:

6w = 48

Finally, divide both sides of the equation by 6 to solve for w:

w = 8

Therefore, the width of the piece of steel is 8 meters.

To find the length of the piece of steel, substitute the value of the width (w) into the expression 2w - 5:

Length = 2(8) - 5 = 11

Therefore, the length of the piece of steel is 11 meters.