the ratio of the perimeter of an equilateral triangle of side 4 cm to perimeter of square of the the same length of side
How many equal sides does an equilateral triangle have?
How many equal sides does a square have?
You know the length of the side, find the perimeter of each shape and form the ratio.
To find the ratio of the perimeter of an equilateral triangle to the perimeter of a square with the same side length, we need to determine the perimeters of both shapes.
First, let's calculate the perimeter of the equilateral triangle.
An equilateral triangle has three equal sides, so each side of the triangle is 4 cm. The perimeter of the equilateral triangle is the sum of all three sides.
Perimeter of the equilateral triangle = 3 x length of one side
Perimeter of the equilateral triangle = 3 x 4 cm
Perimeter of the equilateral triangle = 12 cm
Next, let's calculate the perimeter of the square.
A square has four equal sides, so each side of the square is also 4 cm. The perimeter of the square is the sum of all four sides.
Perimeter of the square = 4 x length of one side
Perimeter of the square = 4 x 4 cm
Perimeter of the square = 16 cm
Now, we can find the ratio by dividing the perimeter of the equilateral triangle by the perimeter of the square.
Ratio = Perimeter of equilateral triangle / Perimeter of square
Ratio = 12 cm / 16 cm
Ratio = 0.75
Therefore, the ratio of the perimeter of an equilateral triangle of side 4 cm to the perimeter of a square of the same side length is 0.75.