an equilateral triangle has a equal perimeter of a rectangle whose length is 12 meter and whose width is 8.7 meter fined the measurement of the side of the equilateral triangle.
per. of rectangle = 2(12+8.7) = 41.4
So the perimeter of the equilateral triangle is 41.4
making each side 41.4/3
or 13.8 m
To find the measurement of the side of the equilateral triangle, we can start by calculating the perimeter of the rectangle, since it is given.
Perimeter of a rectangle = 2 × (length + width)
Given:
Length of the rectangle = 12 meters
Width of the rectangle = 8.7 meters
Plugging in the values:
Perimeter of the rectangle = 2 × (12 + 8.7)
Simplifying the equation:
Perimeter of the rectangle = 2 × (20.7)
Calculating the perimeter:
Perimeter of the rectangle = 41.4 meters
Since an equilateral triangle has equal sides, the perimeter of the equilateral triangle will also be equal to 41.4 meters.
Since an equilateral triangle has 3 equal sides, we divide the perimeter by 3 to get the measurement of each side.
Side of the equilateral triangle = Perimeter of the triangle ÷ 3
Side of the equilateral triangle = 41.4 ÷ 3
Calculating the side of the equilateral triangle:
Side of the equilateral triangle ≈ 13.8 meters
Therefore, the measurement of each side of the equilateral triangle is approximately 13.8 meters.