Item 5
This figure consists of a rectangle and semicircle.
What is the perimeter of this figure?
Use 3.14 for pi.
19.42 cm
20.28 cm
23.42 cm
32.84 cm
23.3
To find the perimeter of the given figure, you need to calculate the sum of all the sides. In this case, the figure consists of a rectangle and a semicircle.
Let's start with the rectangle. To find its perimeter, add up the lengths of all four sides. However, only two sides are given, so we need to find the other two sides. Let's assume the given sides are the length (L) and the width (W) of the rectangle.
The opposite sides of a rectangle are equal, so the missing length and width are also L and W, respectively. Therefore, the perimeter of the rectangle is P_rect = 2L + 2W.
Next, let's consider the semicircle. The perimeter of a full circle is found by using the formula P_circle = 2πr, where π is the mathematical constant pi and r is the radius. However, we have a semicircle, so we need to find the radius (r) first.
Looking at the figure, we can see that the semicircle's diameter is equal to the length of the rectangle. Since the diameter is twice the radius, we have r = (L/2).
Now, we can find the perimeter of the semicircle by using the formula P_semicircle = πr + r.
To calculate the perimeter of the entire figure, we add the perimeter of the rectangle and the perimeter of the semicircle, as they share a common side.
Finally, substitute the values given in the options (19.42 cm, 20.28 cm, 23.42 cm, and 32.84 cm) into the equation and see which one satisfies the result.
Using this approach, you can determine the correct perimeter of the figure.