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
<em>Substitute equation C in equation B and solve for b</em>
4b=3(b+2)
4b=3b+6
4b-3b=6
b=6 in
<em>Find the value of a</em>
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
