4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
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Answer:
5
Step-by-step explanation:
Let the number be x
Therefore 3times the number will be 3x
3x + 2= 17
3x =17-2
3x=15
x=15/3
x= 5
Their equal because they both go the same
Answer:
See below
Step-by-step explanation:
x = part 1
3x = part 2
x + 3x = part 3 summed, they equal 1000
x + 3x + x + 3x = 1000
8x = 1000
<u>x = 125 3x = 385 third part = 500 </u>