Subjects geometry

Quadrilateral Perimeter D48694

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1. **State the problem:** We need to find the perimeter of the quadrilateral with vertices D, B, A, and C. 2. **Identify the given lengths:** - DB = 35 - BC = 25 - CA = 32 - AB is split into two vertical segments: 14 and 13 3. **Understand the perimeter formula:** The perimeter $P$ of a polygon is the sum of the lengths of all its sides. $$P = DB + BC + CA + AB$$ 4. **Calculate the length of AB:** Since AB is split into two segments, add them: $$AB = 14 + 13 = 27$$ 5. **Sum all sides to find the perimeter:** $$P = 35 + 25 + 32 + 27$$ 6. **Perform the addition:** $$P = 35 + 25 = 60$$ $$P = 60 + 32 = 92$$ $$P = 92 + 27 = 119$$ 7. **Final answer:** The perimeter of the quadrilateral is **119** units.