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Answer: 35 inches
Each side of the pentagon is multiplied by 5/3 to get the length of each new side, so the perimeter is multiplied by 5/3 to get the new perimeter.
New perimeter = (scale factor)*(old perimeter)
New perimeter = (5/3)*(old perimeter)
New Perimeter = (5/3)*(21)
New Perimeter = (5/3)*(21/1)
New Perimeter = (5*21)/(3*1)
New Perimeter = 105/3
New Perimeter = 35 inches
The perimeter of the new Pentagon will be 35 inches.
What is Scale Factor?
Scale Factor is the ratio by which an object is enlarged or compressed.
The perimeter of the regular pentagon is 21 inches
A regular pentagon has 5 sides and each side is equal
The Perimeter = 5 * length of each side
Length of each side = 21/5 = 4.2 inches
The pentagon is scaled by a scale factor of 5/3
Each side will be multiplied by 5/3
Length of the new pentagon = (5/3)* 4.2 = 7 inches
The perimeter of the new Pentagon will be = 5 * 7 = 35 inches.
The perimeter of the Pentagon is 35 inches.
To know more about Scale Factor
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