A regular pentagon, a regular hexagon and a square each have sides of 6 cm in length. a. How much longer is the perimeter of the regular hexagon than the perimeter of the square? cm

b. What is the perimeter of the regular pentagon? cm

Correct option is C)

ABCDE is a pentagon. Hence, ∠EDC=108

∘

(Interior angle of a pentagon)

Also, ∠EDF=90

∘

Now, ∠CDF=360

o

−∠EDF−∠EDC

∠CDF=360

o

−90

o

−108

o

=162

o

Now, Interior angle of a polygon,

n

180

o

(n−2)

=162

o

180n−360=162n

18n=360

n=20

Thus, polygon has 20 sides.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

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step-by-step explanation: