Bronson builds a rectangular deck for his friend. the width of the deck is 29 feet. the perimeter of the deck must be at least 134 feet.

a. write an inequality that represents all possible values for the length of the deck.

b. find all possible values for the length of the deck.

Answer: a) Greater than or equal to 38 feet b) Since there is no restriction on the perimeter there exists many possible values for the length of the deck. Explanation: Given that the width of the deck is 29 ft. and the perimeter of the deck is at least 134 ft. 134 = 2 (length + width) 134 = (2 x length) + (2 x 29) 134 = (2 x length) + 58 2 x length = 134 - 58 2 x length = 76 length = 76 / 2 length = 38 ft Thus, the inequality will be: a) Length ≥ 38 ft b) since there is no restriction on the perimeter there exists many possible values for length of deck.