Both the shapes will have the same Perimeter.
It is given that :
Anthony drew a pentagon whose each side measures 6inches
Whereas, Carol drew a hexagon whose each side measures 5inches
The formula to calculate the Perimeter of the Pentagon is: 5*a
and, the formula to calculate the Perimeter of the Hexagon is: 6*a
In the given formulas, 'a' represents the measure of the side for both the Pentagon & Hexagon.
Calculating, Perimeter of Pentagon P1 = 5 * a, where a = 6 inches
=> P1 = 5*6 => P1 = 30inch
Calculating, Perimeter of Hexagon P2 = 6*a, where a = 5 inches
=> P2 = 6*5 => P2 = 30inch
We get P1 = P2
Hence, Both the Pentagon & the Hexagon have equal Perimeters of 30inch
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