Question 403529
l > is the length & w > is the width 
Because a perimater of a rectangle is > 2( Width + Length ) 
& w = ( w ) & l = ( 4w+1 ) 
then the equation will be 52 = 2 ( (w) + (4w+1) ) 
52 = 2w+8w+2
52 = 10w+2
10w = 52-2 >> w = 50/10 = 2 in
Then to get the length : 
52 = 2(5+L)
52 = 10+2L
2L = 52-10 >> L = 42/2 = 21 
To check your answer : 
2(5+21) = 52 ( answer is correct)