Width of the rectangle is 10 m
Explanation:
Step 1:
Let the width of the rectangle be x. Then length of the rectangle will be 8 + 6x. Perimeter = 156m
Perimeter of a rectangle = 2 (length + width)
⇒ 156 = 2 (8 + 6x + x)
⇒ 156 = 16 + 14x
⇒ 140 = 14x
∴ x = 140/14 = 10 m
⇒ Width of the rectangle is 10 m