Please help!!!

Scott bought 54m of fencing to enclose a rectangular plot of land. The width of the rectangular plot is 12m. Assume Scott uses all the fencing. What is the length of the rectangular plot of land?

a) choose a variable to represent the length of the rectangular plot of land. Write an equation.
b) solve equation using the distributive property.

a) Let's choose the variable "L" to represent the length of the rectangular plot of land. The width of the rectangular plot is given as 12m.

Therefore, the equation representing the problem is:
2L + 2(12) = 54

b) Now, we can solve the equation using the distributive property.

Expanding and simplifying the equation, we have:
2L + 24 = 54

Next, we isolate the variable "2L" by subtracting 24 from both sides of the equation:
2L + 24 - 24 = 54 - 24, which gives:
2L = 30

Finally, to find the value of "L," we divide both sides of the equation by 2:
2L/2 = 30/2, which gives:
L = 15

Therefore, the length of the rectangular plot of land is 15 meters.

P = 2L + 2W

54 = 2L + 2(12)

54 = 2L + 24

30 = 2L

15 = L