Respuesta :
Answer:
[tex]Length= 6 m \\ Width = 5m[/tex]
Step-by-step explanation:
Let the width of the piece be '[tex]W[/tex]'
Length of the piece be '[tex]L[/tex]'
According to the given statement
[tex]Length=2W-4[/tex]
Perimeter = 22 m
Perimeter of the rectangular sheet=
[tex]2(L+W)\\ 22= 2(2W-4+W)\\ 22=2(3W-4)\\ 11=3W-4\\ 3W=11+4\\ 3W=15\\ W= 5\\[/tex]
[tex]Length=2W-4[/tex]
[tex]=2(5)-4\\=10-4\\Length=6 m[/tex]
[tex]Length= 6 m \\ Width = 5m[/tex]
Answer: length = 6 meters
Width = 5 meters
Step-by-step explanation:
Let L represent the length of the rectangular piece of steel.
Let W represent the width of the rectangular piece of steel.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the steel is 22 meters. This means that
2(L + W) = 22
Dividing through by 2, it becomes
L + W = 11 - - - - - - - - - - - -1
The length of a rectangular piece of steel is 4 meters less than double the width. This means that
L = 2W - 4
Substituting L = 2W - 4 into equation 1, it becomes
2W - 4 + W = 11
2W + W = 11 + 4
3W = 15
W = 15/3
W = 5
L = 2W - 4 = 2 × 5 - 4
L = 10 - 4
L = 6
