Question

Jeremy is building a large deck for a communtiy center. the deck is shaped as a rectangle. the width of the deck is 29 feet. the perimeter of the deck is to be at least 134 feet. A. write an inquality that represents all possible values for the length of the deck. B. find all possible values for the length of the deck.

Answer 1

can somebody help me with this

Answer 2

The perimeter is the sum of twice the width and twice the length.
Since the perimeter is at least 134, and the width is 29, then
134 <= 2(29) + 2x, (By <=, I mean less than or equal to)
(x here is the length)
Simplifying, we get:
134 <= 58 + 2x
And there's your inequality.

To get all the possible values for the length x of the deck, we isolate x in the inequality
134 - 58 <= 2x
76 <= 2x
38 <= x

so the possible values of x are in this set:
[38, infinity), 38 included,
In simple english, it means any number 38 and above
Hope that helps :)

Answer 3

If anything wasn't clear, feel free to tell me :)

Answer 4

ok thanks

Answer 5

so allpossible values are 38

Answer 6

38, or anything bigger than 38

Answer 7

oh ok