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Questions and Answers
What is the definition of perimeter?
What is the definition of perimeter?
- The sum of angles in a polygon.
- The total distance around the outside of a polygon. (correct)
- The total distance inside a polygon.
- The distance around a single side of a polygon.
How is the perimeter of an equilateral triangle calculated?
How is the perimeter of an equilateral triangle calculated?
- P = 4s
- P = a + b + c
- P = 2(a + b)
- P = 3a (correct)
What is the formula for calculating the perimeter of a rectangle?
What is the formula for calculating the perimeter of a rectangle?
- P = l + w
- P = 4s
- P = 2l + 2w
- P = 2(l + w) (correct)
How is the perimeter of an irregular polygon calculated?
How is the perimeter of an irregular polygon calculated?
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What is the perimeter of a square with side length 5 units?
What is the perimeter of a square with side length 5 units?
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What is a characteristic of an irregular polygon?
What is a characteristic of an irregular polygon?
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Study Notes
Definition Of Perimeter
- Perimeter is the total distance around the outside of a polygon.
- It is calculated by summing the lengths of all the sides of the polygon.
- Measured in linear units (e.g., meters, centimeters).
Calculating Perimeter Of Triangles
- A triangle has three sides.
- Formula: P = a + b + c
- P = perimeter
- a, b, c = lengths of the sides
- For equilateral triangles (all sides equal): P = 3a, where a is the length of one side.
Calculating Perimeter Of Rectangles
- A rectangle has two pairs of equal sides.
- Formula: P = 2(l + w)
- P = perimeter
- l = length
- w = width
- For squares (all sides equal): P = 4s, where s is the length of one side.
Calculating Perimeter Of Irregular Polygons
- An irregular polygon has sides of different lengths.
- Formula: P = a1 + a2 + a3 + ... + an
- P = perimeter
- a1, a2, ..., an = lengths of all sides
- Measure each side individually and sum the lengths to find the perimeter.
Definition Of Perimeter
- Perimeter refers to the total distance surrounding a polygon.
- It is determined by adding the lengths of all the polygon’s sides.
- The measurement of perimeter is expressed in linear units such as meters or centimeters.
Calculating Perimeter Of Triangles
- A triangle consists of three sides.
- The perimeter can be calculated using the formula: P = a + b + c, where P is perimeter and a, b, c represent the side lengths.
- For equilateral triangles, where all sides are equal, the formula simplifies to P = 3a, with 'a' being the length of one side.
Calculating Perimeter Of Rectangles
- A rectangle has two pairs of equal-length sides.
- The perimeter is calculated using the formula: P = 2(l + w), where l is the length and w is the width.
- For squares, which have all sides equal, the perimeter is given by P = 4s, where 's' represents the length of one side.
Calculating Perimeter Of Irregular Polygons
- An irregular polygon features sides of varying lengths.
- The perimeter is calculated by summing the lengths of each individual side: P = a1 + a2 + a3 + ... + an, where each ai is a side length.
- To find the perimeter, measure each side individually and add all lengths together.
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