Answer: [tex]w = 10[/tex]
Step-by-step explanation:
Our perimeter will be 140 cm and our width of the rectangle will be 6w. We will then divide 14w and 140 by 14 so we can get w by itself. Then, we will divide the perimeter by the width.
Step 1: Let 6w will be our length and let the perimeter be 140 cm.
[tex]6w, P = 140 cm[/tex]
Step 2: Perimeter means that you add up all the 4 sides of the rectangle.
[tex]P = 140 = w + w + 6w + 6w = 14w[/tex]
[tex]P = 140, 14w[/tex]
Step 3: Divide both sides 14 to get the single w variable.
[tex]\frac{140}{14} = \frac{14w}{14}[/tex]
Step 4: Simplify.
[tex]10 = w[/tex]
Step 5: Flip sides.
[tex]w = 10[/tex]
~I hope I helped you :)~