What do you call the total boundary length of a closed figure?a)Areab)...
The total boundary length of a closed figure is called the perimeter.Perimeter
The perimeter of a closed figure is the distance around the outside of the shape. It is the sum of all the lengths of the sides of the figure. Perimeter is measured in units such as centimeters, meters, or feet.
Explanation
When we talk about the total boundary length of a closed figure, we are referring to the distance around the shape. Let's understand this with a few examples:
Square: A square is a closed figure with four equal sides. To find the perimeter of a square, we add the lengths of all four sides. Since all sides are equal, the perimeter is given by the formula:
Perimeter = 4 * side length
Rectangle: A rectangle is a closed figure with two pairs of equal sides. To find the perimeter of a rectangle, we add the lengths of all four sides. The formula for the perimeter of a rectangle is:
Perimeter = 2 * (length + width)
Triangle: A triangle is a closed figure with three sides. To find the perimeter of a triangle, we add the lengths of all three sides.
Circle: A circle is a closed figure with a curved boundary. The perimeter of a circle is called the circumference. It can be calculated using the formula:
Circumference = 2 * π * radius
In each case, the perimeter represents the total boundary length of the figure. It helps us understand how much distance we need to cover if we were to walk around the shape.
Conclusion
The total boundary length of a closed figure is called the perimeter. It is the sum of all the lengths of the sides of the shape. Perimeter is an important concept in geometry as it helps us measure and compare the boundary lengths of different figures.