## The length of a rectangular piece of steel is 4 meters less than double the width. The perimeter of the steel is 22 meters find the length a

Question

The length of a rectangular piece of steel is 4 meters less than double the width. The perimeter of the steel is 22 meters find the length and width of steel

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1 week 2021-09-13T04:57:46+00:00 2 Answers 0

1. 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

Step-by-step explanation:

Let the width of the piece be ‘

Length of the piece be ‘

According to the given statement

Perimeter = 22 m

Perimeter of the rectangular sheet=