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A wire is first bent into the shape of a triangle. Each side of the triangle is long. Then the wire is unbent and reshaped into a square. What is the length of a side of the square?

1 Answer

1 vote

Answer:

18 in

Explanation:

Here is the complete question.

A wire is first bent into the shape of a triangle. Each side of the triangle is 24in long. Then the wire is unbent and reshaped into a square. What is the length of a side of the square?

A triangle have 3 sides. If each sides is 24in long, the perimeter of the triangle will be:

P = s1 + s2 + s3

P = 24in + 24in + 24in

P = 72in

If the same length of wire is unbent and reshape into a square, this means:

Perimeter of the triangle = Perimeter of the square

Perimeter of the square = 72in

To get the length of a side of a square, we will use the formula:

Perimeter of a square = 4L

72 = 4L

L = 72/4

L = 18in

Hence the length of a side of the square will be 18in.

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