Question

what is the perimeter of this figure? note: m stands for meters. enter your answer in the box. meters note: the two sides that are not labeled are 8 meters and 7 meters.

Explanation:

Step1: Identify side - lengths

The given side - lengths are 4m, 10m, 12m, 3m. The two unlabeled sides are 8m and 7m (by observing the figure's structure and the relationships between the labeled sides).

Step2: Calculate perimeter

The perimeter \(P\) of a polygon is the sum of all its side - lengths. So \(P=4 + 10+12 + 3+8 + 7\).
\[

$$\begin{align*} P&=(4 + 10)+(12 + 3)+(8 + 7)\\ &=14+15 + 15\\ &=44 \end{align*}$$

\]

Answer:

44 m