let A and B be the two sides of the rectangle.
The perimeter is the sum of its four sides:
perimeter = A + B + A + B = 2A + 2B = 8x + 6
We are also given one of its sides (length), say, A = 3x
and so we know how to get the second side (width) B:
2A + 2B = 8x + 6
6x + 2B = 8x + 6
2B = 2x + 6
B = x + 3
The width of the rectangle is x + 3
The width is x+3.
It should be noted that the perimeter will be calculated through the formula:
= 2l + 2w
where, l = length
w = width
Therefore, perimeter = 2l + 2w
2(3x) + 2w = 8x + 6
6x + 2w = 8x + 6
Collect like terms
2w = 8x - 6x + 6
2w = 2x + 6
Divide both side by 2
2w/2 = (2x + 6)/2
w = x + 3
The width is x+3.
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