Nina made 14 curtains of the same length out of 30 1 3 yards of fabric. What is the length of each curtain?
2 answers:
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ANSWER
I) 5:11
ii) 5:11
iii) 125:1331
EXPLANATION
Let the side lengths be in the ratio:
x:y
This implies that the area will be in the ratio:
Take positive square root.
Hence the sides are in the ratio:
x:y=5:11
The perimeter of the smaller hexagon is 6×5=30
The perimeter of the larger hexagon is 6×11=66
The ratio of the perimeter is
30:66=5:11
The volume will be in the ratio
5³:11³
125:1331