Question 954099
So Perimeter of a rectangle is equal to 2 times the length plus two times the width.<br>  

Lets let x = the width of the rectangle.  Then we know the length is x+5 since the length of the rectangle is 5m longer than the width.  <br>

so we can plug x and x+5 into the formula for perimeter and solve for x.  The euqation is:<br>

122 = 2(x+5)+2x<br>

I will leave you to solve this but you should get x = 28m.  We need to plug this into x+5 to find the length which should give you 33m.