Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
To find the perimeter of the figure, we need to find the lengths of all sides and add them up.
First, let's find the length and width of the rectangle.
The length of the rectangle is given as 10 cm.
The width of the rectangle can be found by subtracting the diameter of the semicircle from the length of the rectangle. The diameter of a semicircle is equal to the width of the rectangle.
The diameter of the semicircle is given as 4 cm. So, the width of the rectangle is 10 cm - 4 cm = 6 cm.
Next, let's find the circumference of the semicircle.
The circumference of a circle can be found by using the formula C = πd, where C is the circumference and d is the diameter.
The diameter of the semicircle is 4 cm. So, the circumference of the semicircle is π(4 cm) ≈ 12.6 cm.
There are two semicircles in the figure, so the total length of the semicircles is 2(12.6 cm) = 25.2 cm.
Finally, let's find the length of the sides of the rectangle.
The length of the rectangle is given as 10 cm.
The width of the rectangle is 6 cm.
The total length of the sides of the rectangle is 2(10 cm) + 2(6 cm) = 32 cm.
Now, let's add up the lengths of all sides and the semicircles to find the perimeter.
Perimeter = length of rectangle + width of rectangle + length of both semicircles
Perimeter = 32 cm + 25.2 cm = 57.2 cm
Therefore, the perimeter of the figure is approximately 57.2 cm, rounded to the nearest tenth.