Jamal is building a rectangular deck. The length of the deck willbe one foot onger than twice the width. The deck will be attached to Jamal's house on one of its longer side and a railing will be attached to the other side. Jamal calculates that he will need 49 feet of railing. What are the dimensions of the deck?

Answer:25 feet  by  12 feetStep-by-step explanation:Width of deck = wLength of deck = 2w + 1---------------------------- (1)Length of railing  =  w + w + 2w +1                             =   4w + 1---------------------------------- (2)Length of railing =  49Solving equation (2) 4w + 1 = 49  4 w = 49-1  4w = 48    w = 48/4    w = 12    Substituting into equation (1)Length of deck = 2 (12) + 1                          = 24+1                          = 25 feetWidth of deck = 12 feetThe dimension of the deck = l x  w                                              = 25 feet  by  12 feetNB: The railing comprises  two widths of the deck , plus one length of the deck since the other length is attached to the house.