Subjects geometry

Perimeter Calculation F8Db7F

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1. **Problem statement:** Calculate the perimeter of each figure given the side lengths. 2. **Formula for perimeter:** The perimeter $P$ of a polygon is the sum of the lengths of all its sides. 3. **Calculations:** (a) Quadrilateral with sides 26 m, 49 m, 38 m, and 28 m: $$P = 26 + 49 + 38 + 28 = 141$$ (b) Rectangle with length 4.3 m and width 2.9 m: Since opposite sides are equal, perimeter is: $$P = 2 \times (4.3 + 2.9) = 2 \times 7.2 = 14.4$$ (c) Square with each side 9.6 m: All sides equal, so: $$P = 4 \times 9.6 = 38.4$$ (d) Irregular polygon with sides 8.9 m, 12.3 m, 2.3 m, and 4.6 m: $$P = 8.9 + 12.3 + 2.3 + 4.6 = 28.1$$ 4. **Final answers:** - (a) 141 m - (b) 14.4 m - (c) 38.4 m - (d) 28.1 m Each perimeter is found by adding all side lengths, applying the rectangle and square properties where applicable.