Answer:
10cm
Step-by-step explanation:
The formula for perimeter is:
[tex]P=2(l+w)[/tex]
Let the width of the rectangle be x then the length would be...
3+x
Now, let's plug these values into the equation and solve. (Note we are also given perimeter is 34 cm):
[tex]34=2(x+3+x)\\34=2(2x+3)\\Distribute\ the\ 2\ to\ each\ term\ in\ the\ parentheses\\34=2(2x)+2(3)\\34=4x+6\\Subtract\ 6\ from\ both\ sides\\4x=28\\Divide\ both\ sides\ by\ 4\\x=7[/tex]
And since the length is x+3 then it is...
x+3=7+3=10cm
