Question

find the perimeter of the figure given to the right. use the approximation 3.14 for π. the perimeter is (type a whole number or a decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Analyze the figure

The figure consists of a square (with side length 22 meters) and a semicircle (with diameter 22 meters, so radius \( r = \frac{22}{2}=11 \) meters). The perimeter will include three sides of the square and the length of the semicircle.

Step2: Calculate the length of the semicircle

The formula for the circumference of a full circle is \( C = 2\pi r \), so the length of a semicircle is \( \frac{1}{2} \times 2\pi r=\pi r \). Substituting \( r = 11 \) and \( \pi = 3.14 \), we get \( 3.14\times11 = 34.54 \) meters.

Step3: Calculate the length of the three sides of the square

Each side of the square is 22 meters, so three sides will be \( 3\times22=66 \) meters.

Step4: Calculate the total perimeter

Add the length of the semicircle and the three sides of the square: \( 34.54 + 66=100.54 \) meters.

Answer:

100.54