Question

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 1

25 feet by 12 feet

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.