The perimeter of the larger hexagon, where the smaller hexagon is increased by a factor of 5:7 is: 84 units.
<h3>What is the Perimeter of Similar Shapes?</h3>
If two shapes are similar, the ratio of their perimeter equals the ratio of their respective sides.
Since the smaller hexagon is increased by a factor of 5:7, therefore:
Length of the larger hexagon = 7/5 × 10 = 14 units.
Perimeter of the larger hexagon = 6(14) = 84 units.
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