Answer:
25 feet by 12 feet
Step-by-step explanation:
Width of deck = w
Length of deck = 2w + 1---------------------------- (1)
Length of railing = w + w + 2w +1
= 4w + 1---------------------------------- (2)
Length of railing = 49
Solving 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 feet
Width of deck = 12 feet
The dimension of the deck = l x w
= 25 feet by 12 feet
NB: The railing comprises two widths of the deck , plus one length of the deck since the other length is attached to the house.
