cduckworth7558
22.12.2021 •
Mathematics
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
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Ответ:
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.
Ответ:
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