Question

An artist is creating a sculpture using bendable metal

Answer 1

Answer:

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