Question

formula 2 points given the following composite figure, d = 16 in and w = 20 in. what is the perimeter of the figure? use 3.14 for pi, and round your answer to the nearest tenth. do not include \in\ with your response. answer formula 2 points given the following values, find the perimeter of the figure shown below: ab = 8, bc = 4, cd = 1, de = 2, ef = 4, and fg = 1

Explanation:

Step1: Analyze the composite - figure components

The perimeter of the given composite figure consists of two lengths \(w\) and the circumference of a circle with diameter \(d\). The formula for the circumference of a circle is \(C=\pi d\).

Step2: Calculate the sum of lengths

The two lengths \(w\) contribute \(2w\) to the perimeter, and the circular part contributes \(\pi d\). So the perimeter \(P = 2w+\pi d\).
Substitute \(w = 20\) inches and \(d = 16\) inches and \(\pi=3.14\) into the formula:
\[

$$\begin{align*} P&=2\times20 + 3.14\times16\\ &=40+50.24\\ &=90.24 \end{align*}$$

\]

Step3: Round the result

Round \(90.24\) to the nearest tenth. Since the hundredth - digit is 4 (\(<5\)), the number remains \(90.2\).

Answer:

90.2