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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?

Respuesta :

Akinny

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.

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