Question

find the perimeter of the figure below, composed of an isosceles trapezoid and one semi - circle. rounded to the nearest tenths place

Explanation:

Step1: Find the length of the curved part of the semi - circle

The formula for the circumference of a full circle is $C = 2\pi r$. For a semi - circle, the length of the curved part $l=\pi r$. Given the diameter of the semi - circle is 2, so the radius $r = 1$, and $l=\pi\times1=\pi$.

Step2: Add the non - circular sides of the figure

The non - circular sides of the figure are the three sides of the trapezoid. The lengths are 5, 4, and 4. The sum of these sides is $5 + 4+4=13$.

Step3: Calculate the perimeter of the figure

The perimeter $P$ of the figure is the sum of the length of the semi - circular arc and the sum of the non - circular sides. So $P=13+\pi$.

Step4: Round to the nearest tenths place

$P = 13+\pi\approx13 + 3.14159=16.14159\approx16.1$

Answer:

$16.1$