Find the area of the regular pentagon. 4.1 cm 6 cm Area = [?] cm? Enter your answer to the nearest tenth.
1 answer:
Answer:
Area of the given regular pentagon is 61.5 cm².
Step-by-step explanation:
Area of a regular polygon is given by,
Area =
Here, a = Apothem of the polygon
P = Perimeter of the polygon
Apothem of the regular pentagon given as 4.1 cm.
Side of the pentagon = 6 cm
Perimeter of the pentagon = 5(6)
= 30 cm
Substituting these values in the formula,
Area =
= 61.5 cm²
Therefore, area of the given regular pentagon is 61.5 cm².
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If is multiplied with a fraction less than 1, out of the given options
would be the answer.
Explanation:
- First, we need to determine what a fraction lesser than 1 is. If the numerator is lesser than the denominator, the fraction will be lesser than 1 whereas if the denominator is higher than the numerator is would equal more than 1.
- If
is multiplied with 1, we get the value
- The value of
is 1.5 and the value of 5 are both greater than 0.6. So the third and fourth options cannot be the answer. So
is the answer.