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The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 16 meters and its length is 2 meters more than twice its width.


What is its length?

Verified Answer :

taskmasters

Let us assume the width of the rectangle = x meters
Then
Length of the rectangle = 2x + 2
Perimeter of the rectangle = 16 meters
Then
Perimeter = 2 (Length + width)
16 = 2(2x + 2 + x)
16 = 2(3x + 2)
16 = 6x + 4
6x = 16 - 4
6x = 12
x = 2
Then
Length of the side of the rectangle = 2x + 2
                                                       = (2 * 2) + 2
                                                       = 6
I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.

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Answer:

6

Explanation:

X ( Width Of The Rectangle )

2x + 2 ( Length Of The Rectangle )

16 Meters ( Perimeter Of The Rectangle )

Equation Break Down :

( Perimeter Of The Rectangle ) Equals ( Length Of The Rectangle ) Plus ( Width Of The Rectangle )

16 Meters = ( L + W )

16 = 2 ( 2x + 2 + x )

16 = 2 ( 3x + 2 )

16 = 6x + 4

6x = 16 - 4

6x = 12

X = 2

2x + 2 ( Length Of The Rectangle )

X  = 2x + 2

= (2 * 2 ) 2

= 6

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