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# the perimeter of a square garden is to be at least 24 feet but not more than 56 feet. find all possible values?

### 4 Answers

- 1 decade agoFavorite Answer
4x4 = 16 --> too little

5x5 = 25

6x6 = 36

7x7 = 49

8x8 = 64 ---> is too much

Now i don't know if you use only whole numbers or fractions also, but it could basically be anywhere from 5x5 to just a little over 7x7

- LucyLv 71 decade ago
Remember:

Perimeter_square = 4 * side = 4s

Given: the perimeter of a square garden is to be at least 24 feet but not more than 56 feet

Means: 24 â¤ 4s â¤ 56

24 â¤ 4s â¤ 56

Divide all terms by 4.

24/4 â¤ 4s/4 â¤ 56/4

6 â¤ s â¤ 14

The perimeter is at least 24 feet but not more than 56 feet when the side is at least 6 and equal to or less than 14.

If only whole numbers are allowed, the side is 6, 7, 8, 9, 10, 11, 12, 13, or 14 feet.

6 * 4 = 24

7 * 4 = 28

8 * 4 = 32

9 * 4 = 36

10 * 4 = 40

11 * 4 = 44

12 * 4 = 48

13 * 4 = 52

14 * 4 = 56

- 1 decade ago
Perimeter of a square ,

4 * sides = 4a (a is side)

perimeter should be greater than or equal to 24 but less than 56.

i.e, 24 <= 4a < 56

( 24/4) <= a < (56/4)

6 <= a < 14

the value of side can be in between 6 and 14

- 1 decade ago
Lucy is almost correct except I'd like to point out that the question states "no more" not "less than" so 14 is also possible