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40 votes
40 votes
The perimeter of a square piece of land is twice the perimeter of an equilateral triangle. (An

equilateral triangle has three equal sides.) If one side of the square is 45 feet, find the length of the
sides of the triangle.

User Christian Steinmann
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2.6k points

1 Answer

21 votes
21 votes

Answer:

30 ft

Explanation:

The perimeter of the square is 4 times the side length:

4 × 45 ft = 180 ft

If that is twice the length of the perimeter of the triangle, then the triangle's perimeter is (180 ft)/2 = 90 ft

The perimeter of an equilateral triangle is 3 times the side length, so each side of the triangle is ...

(90 ft)/3 = 30 ft . . . triangle side length

User Raranibar
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2.4k points