An artist is creating a sculpture using bendable metal
rods of equal length. one rod is formed into the
shape of a square and another rod into the shape of
an equilateral triangle. if each side of the triangle is
2 inches longer than each side of the square, how
long, in inches, is each rod?
a) 16
b) 18
c) 24
d) 30
( explain and show your work )

Option C 24 in

Step-by-step explanation:

Let

x> the length of each rod

b > the length side of the square

a > the length side of the equilateral triangle

we know that

The perimeter of the square is 4b

The perimeter of equilateral triangle is 3a

so

2x=4b+3a > equation A

4b=3a > equation B

a=b+2 > equation C

Substitute equation C in equation B and solve for b

4b=3(b+2)

4b=3b+6

4b-3b=6

b=6 in

Find the value of a

a=b+2 > a=6+2=8 in

Find the value of x

x=4b  or x=3a

x=4(6)=24 in

therefore

The length of each rod is 24 inches

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or