Answer:
[tex]b = 25.66m[/tex]
Step-by-step explanation:
The perimeter of this rectangle equals
[tex]2l + 2b = 154m[/tex]
First, convert the 2 centimeters to meters.
[tex]1m = 100cm \: \: \: or \: \: \: 0.01m = 1cm[/tex]
[tex]2cm = 0.02m[/tex]
Then write an equation for the length in terms of the breadth.
[tex]l = 2b + 0.02m[/tex]
Next, plug in the equation for L into the equation for the rectangle...
[tex]2(2b + 0.02m) + 2b = 154m[/tex]
now, solve for b...
multiply 2 through the parentheses...
[tex]4b + 0.04m + 2b = 154m[/tex]
subtract 0.04m from both sides and add the b terms together...
[tex]6b =153.96m[/tex]
then divide both sides by 6
[tex]b = 25.66m[/tex]
