Question

Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.


top and bottom is 13 and sides are 6

Answer 1

To find the perimeter of the figure, we need to find the total distance around the shape.

First, we can calculate the perimeter of the rectangle. The top and bottom sides have a length of 13 each, while the left and right sides have a length of 6 each.

Perimeter of the rectangle = 2(Length + Width)
= 2(13 + 6)
= 2(19)
= 38

Next, we need to find the circumference of the semicircle. The semicircle is the curved part of the figure and its diameter is equal to the width of the rectangle, which is 6.

Circumference of the semicircle = (π x diameter)/2
= (π x 6)/2
= 3π

To include the straight side connecting the rectangle and the semicircle, we need to add the width of the rectangle, which is 6.

Perimeter of the figure = Perimeter of the rectangle + Circumference of the semicircle + width of the rectangle
= 38 + 3π + 6

Now, we can round the answer to the nearest tenth:

Perimeter of the figure ≈ 38 + 3π + 6 ≈ 44.85