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The perimeter formula of an irregular polygon is:
- a)P = a + b + c
- b)P = 2(a + b)
- c)P = Sum of all sides
- d)P = a + b + c + d
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The perimeter formula of an irregular polygon is:a)P = a + b + cb)P = ...
Perimeter is the distance around the outer edge of a polygon. In the case of an irregular polygon, the sides can have different lengths and the angles between them can vary. To calculate the perimeter of an irregular polygon, you need to add up the lengths of all its sides.
Here's how to calculate the perimeter using the given formula:
1. Identify the sides of the polygon: Look at the shape and identify all the sides. Each side is a straight line segment connecting two consecutive vertices (corners) of the polygon.
2. Measure the lengths of all the sides: Use a ruler or measuring tape to measure the lengths of each side of the polygon. Make sure to measure in the same unit (e.g., centimeters or inches) for consistency.
3. Add up the lengths of all the sides: Once you have measured the lengths of all the sides, add them together to find the sum. This sum represents the perimeter of the irregular polygon.
The formula P = Sum of all sides (option 'C') reflects this process. It is a general formula that can be used for any irregular polygon, regardless of the number of sides or their lengths.
Remember that the perimeter is always expressed in the same unit as the lengths of the sides. For example, if the lengths of the sides are measured in centimeters, the perimeter will be in centimeters as well.
It's important to note that the other options (a, b, and d) are not correct for finding the perimeter of an irregular polygon. Option 'A' suggests that the perimeter is equal to the length of side 'a', which is incorrect because it doesn't account for the other sides. Option 'B' suggests that the perimeter is equal to twice the sum of sides 'a' and 'b', which is also incorrect as it doesn't consider the remaining sides. Option 'D' suggests that the perimeter is equal to the product of all the side lengths 'a', 'b', 'c', and 'd', which is incorrect because the perimeter is the sum of side lengths, not their product.
In conclusion, the correct formula for calculating the perimeter of an irregular polygon is P = Sum of all sides, as stated in option 'C'.
Here's how to calculate the perimeter using the given formula:
1. Identify the sides of the polygon: Look at the shape and identify all the sides. Each side is a straight line segment connecting two consecutive vertices (corners) of the polygon.
2. Measure the lengths of all the sides: Use a ruler or measuring tape to measure the lengths of each side of the polygon. Make sure to measure in the same unit (e.g., centimeters or inches) for consistency.
3. Add up the lengths of all the sides: Once you have measured the lengths of all the sides, add them together to find the sum. This sum represents the perimeter of the irregular polygon.
The formula P = Sum of all sides (option 'C') reflects this process. It is a general formula that can be used for any irregular polygon, regardless of the number of sides or their lengths.
Remember that the perimeter is always expressed in the same unit as the lengths of the sides. For example, if the lengths of the sides are measured in centimeters, the perimeter will be in centimeters as well.
It's important to note that the other options (a, b, and d) are not correct for finding the perimeter of an irregular polygon. Option 'A' suggests that the perimeter is equal to the length of side 'a', which is incorrect because it doesn't account for the other sides. Option 'B' suggests that the perimeter is equal to twice the sum of sides 'a' and 'b', which is also incorrect as it doesn't consider the remaining sides. Option 'D' suggests that the perimeter is equal to the product of all the side lengths 'a', 'b', 'c', and 'd', which is incorrect because the perimeter is the sum of side lengths, not their product.
In conclusion, the correct formula for calculating the perimeter of an irregular polygon is P = Sum of all sides, as stated in option 'C'.
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The perimeter formula of an irregular polygon is:a)P = a + b + cb)P = ...
The perimeter formula of an irregular polygon is given as P = Sum of all sides, where P represents the perimeter, and all sides are added together to calculate the total perimeter.
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