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What is the ratio, by perimeter, of the equilateral triangle to the sq
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12 Jan 2022, 07:35
12 Jan 2022, 07:35
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What is the ratio, by perimeter, of the equilateral triangle to the square to the regular hexagon in the figure above?
A. 2:4:6
B. 6:4:3
C. 2:3:4
D. 6:8:12
E. 3:4:8
Re: What is the ratio, by perimeter, of the equilateral triangle to the sq
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12 Jan 2022, 07:47
12 Jan 2022, 07:47
1
Let's take the side of the equilateral side = \(x\)
Perimeter of triangle =\( 3x\)
Perimeter of square =\( 4x\)
Perimeter of hexagon =\( 6x\)
The ratio = \(3 : 4 : 6\) \(= 6 : 8 : 12\)
Answer \(D\)
Perimeter of triangle =\( 3x\)
Perimeter of square =\( 4x\)
Perimeter of hexagon =\( 6x\)
The ratio = \(3 : 4 : 6\) \(= 6 : 8 : 12\)
Answer \(D\)
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Re: What is the ratio, by perimeter, of the equilateral triangle to the sq
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12 Jan 2022, 07:50
12 Jan 2022, 07:50
1
Carcass wrote:
What is the ratio, by perimeter, of the equilateral triangle to the square to the regular hexagon in the figure above?
A. 2:4:6
B. 6:4:3
C. 2:3:4
D. 6:8:12
E. 3:4:8
If we let one side of regular hexagon have length 1 then every side of each shape will have length 1.
So, the perimeter of the equilateral triangle = 1 + 1 + 1 = 3
The perimeter of the square = 1 + 1 + 1 + 1 = 4
The perimeter of the regular hexagon= 1 + 1 + 1 + 1 + 1 + 1 = 6
So, the ratio, by perimeter, of the equilateral triangle to the square to the regular hexagon = 3 : 4 : 6
Since the ratio 3 : 4 : 6 is equivalent to the ratio 6:8:12, the correct answer is D
