Find The Perimeter Of Complex Figures Math quiz exercise

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The perimeter is the sum of lengths of all the sides of any given shape. To find the value of perimeter of any given shape it is thus important to add all the lengths. For simple and basic shapes, there are standard formulas whereas the complex shapes might not have any proper formula for them. Instead, each of the complex figures has to be broken down into known basic shapes and then add the sides. In this quiz, the kid is expected to follow the same pattern in order to find the perimeter of the given complex shape.

How to find perimeter of different type of shapes?

Finding the perimeter of a complex figure is a math skill that involves adding up the lengths of all the sides of the shape. It’s a useful skill to have when you need to know how much fencing or wallpaper you need to buy, or when you’re trying to figure out the distance around a race track. Here’s how you can find the perimeter of a few different types of complex figures:

  1. Rectangles: To find the perimeter of a rectangle, you’ll need to add up all four sides. The perimeter is equal to twice the width (W) plus twice the height (H). So the formula for the perimeter of a rectangle is: P = 2W + 2H. For example, if the width of the rectangle is 6 meters and the height is 4 meters, the perimeter would be 2 x 6 + 2 x 4 = 12 + 8 = 20 meters.
  2. Triangles: The perimeter of a triangle is the sum of all three sides. For example, if a triangle has sides of 3 meters, 4 meters, and 5 meters, the perimeter would be 3 + 4 + 5 = 12 meters.
  3. Circles: Circles don’t have sides, so to find their perimeter (which is also called the circumference), you’ll need to use a special formula. The formula for the circumference of a circle is C = 2 x pi x r, where pi is a special number that is approximately equal to 3.14 and r is the radius of the circle (the distance from the center of the circle to the edge). So if the radius of the circle is 4 meters, the circumference would be 2 x 3.14 x 4 = 25.12 meters.
  4. Polygons: A polygon is a shape with straight sides and angles. The perimeter of a polygon is the sum of all its sides. For example, if a hexagon (a six-sided polygon) has sides of 4 meters, 5 meters, 6 meters, 7 meters, 8 meters, and 9 meters, the perimeter would be 4 + 5 + 6 + 7 + 8 + 9 = 39 meters.

Remember, to find the perimeter of a complex figure, you just need to add up the lengths of all its sides. Whether it’s a rectangle, triangle, circle, or polygon, this math skill will help you figure out the distance around the outside of the shape.