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vredina [299]
3 years ago
7

An artist is creating a sculpture using bendable metal

Mathematics
1 answer:
Talja [164]3 years ago
4 0

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

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