Question 939010
length = l 
width = w

From the given problem "one more than three times the width"
 i.e; l = 1+3w

Perimeter =p
 Formula:p=2l+2w

Given P=58 inches

Substitute l=1+3w in the perimeter p

 2(1+3w)+2w=58
  2(1+3w+w/)=58
    1+4w =58/2
      1+4w= 29
          4w =29-1
           4w =28
             {{{ 4w/4 =28/4}}}

   
              w= 7
  l=  1+3*7
      = 1+21
           =22
l= 22 inches 
w = 7 inches 
 area  =  lx w
        =22x7
       = 154 square inches