2. Find the perimeter of the shaded region. 32 om P P 15am 0 15 cm 52 cm 10 cm Side RP 0-0-0-0- Side PQ = 0 + 0-0 cm 0+0-0-0 cm Perimeter =0+0+0+0+0+0+0+0 ☐ cm
Answer (1)
Answer:Step 1 . Calculate the length of side \(\text{RP}\). Side \(\text{RP}\) is found by subtracting the known segments from the total length of \(\text{52\ cm}\). \(\text{RP}=\text{52\ cm}-\text{15\ cm}-\text{10\ cm}\) \(\text{RP}=\text{27\ cm}\) Step 2 . Calculate the length of side \(\text{PQ}\). Side \(\text{PQ}\) is found by adding the known segments and subtracting the overlapping segment. \(\text{PQ}=\text{32\ cm}+\text{15\ cm}-\text{15\ cm}\) \(\text{PQ}=\text{32\ cm}\) Step 3 . Calculate the perimeter of the shaded region. The perimeter is the sum of all outer side lengths. \(\text{Perimeter}=\text{RP}+\text{15\ cm}+\text{PQ}+\text{15\ cm}+\text{10\ cm}+\text{15\ cm}+\text{32\ cm}+\text{27\ cm}\) \(\text{Perimeter}=\text{27\ cm}+\text{15\ cm}+\text{32\ cm}+\text{15\ cm}+\text{10\ cm}+\text{15\ cm}+\text{32\ cm}+\text{27\ cm}\) \(\text{Perimeter}=\text{173\ cm}\) Solution The perimeter of the
