Answer:
n = 20
Step-by-step explanation:
The number of diagonal that can be drawn in a polygon of n sides is given by :
If the number of diagonals are 230, then put D = 230 in above formula. So,
It is a quadratic equation, the value of n is equal to 20.
It means that for 230 diagonal, there are 20 sides of the polygon.
Answer:
Area pf the regular pentagon is 193 to the nearest whole number
Step-by-step explanation:
In this question, we are tasked with calculating the area of a regular pentagon, given the apothem and the perimeter
Mathematically, the area of a regular pentagon given the apothem and the perimeter can be calculated using the formula below;
Area of regular pentagon = 1/2 × apothem × perimeter
From the question, we can identify that the value of the apothem is 7.3 inches, while the value of the perimeter is 53 inches
We plug these values into the equation above to get;
Area = 1/2 × 7.3× 53 = 386.9/2 = 193.45 which is 193 to the nearest whole number