The area of a rectangle is 64 square inches. express the perimeter p as a function of the w
and state the domain.

Step-by-step explanation:

The area of a rectangle is A = lw.  If the area is 64, we sub it in to get 64 = lw.

If we want to express the perimeter in terms of w using that area expression, we solve the area for l:

The formula for the perimeter of a rectangle is

P = 2l + 2w

If we are to express it in terms of w, sub in the l value from the area:

which simplifies to

Because this is width and width is a distance measure, it can't ever be negative or 0, so the domain for w is w > 0.

Perimeter   P=2x+ (128/x)

Step-by-step explanation

Area = L*W

Perimeter = 2L + 2W

one side is x meters

area = 64 sq.inches

 the other side will be 64/x.  

the perimeter P = 2L+2W

P= 2x+ (2*64/x)

P=2x+ (128/x)

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

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