The perimeter of a triangular garden is 54 feet. Find the length of the three sides if the middle length side is 4feet greater than twice the length of the smallest​ side, and the longest side is 4feet less than 3 times the length of the smallest side.

9 feet, 22 feet and 23 feet

Step-by-step explanation:

Let the smallest side be x.

The middle length side is 4feet greater than twice the length of the smallest​ side. This will be:

= (2 × x) + 4 = 2x + 4

The longest side is 4feet less than 3 times the length of the smallest side. This will be:

= (3 × x) - 4 = 3x - 4

Perimeter = x + 2x + 4 + 3x - 4

x + 2x + 4 + 3x - 4 = 54

Collect like terms

6x = 54

x = 54/6

x = 9

The three sides are

Smallest side = 9 feet

Middle side = 2x + 4 = 2(9) + 4 = 18+4 = 22 feet

Longest side = 3x - 4 = 3(9) - 4 = 27 - 4 = 23feet

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068