To solve the problem of finding the perimeter of each quadrilateral, we need to use the formula for the perimeter of a polygon, which is the sum of the lengths of all its sides. Let's go through each quadrilateral step by step.
1)
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Shape: Parallelogram
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Sides: 10 mm, 4 mm, 10 mm, 4 mm
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Perimeter: \( 10 + 4 + 10 + 4 = 28 \) mm
2)
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Shape: Square
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Side length: 5 yd
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Perimeter: \( 5 + 5 + 5 + 5 = 20 \) yd
3)
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Shape: Trapezoid
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Sides: 17 in, 9 in, 8 in, 2 in
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Perimeter: \( 17 + 9 + 8 + 2 = 36 \) in
4)
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Shape: Irregular quadrilateral
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Sides: 4 ft, 7 ft, 7 ft, 4 ft
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Perimeter: \( 4 + 7 + 7 + 4 = 22 \) ft
5)
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Shape: Square
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Side length: 6 cm
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Perimeter: \( 6 + 6 + 6 + 6 = 24 \) cm
6)
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Shape: Rhombus
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Side length: 4 yd
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Perimeter: \( 4 + 4 + 4 + 4 = 16 \) yd
7)
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Shape: Irregular pentagon (but only four sides are given)
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Sides: 5 ft, 7 ft, 3 ft, 4 ft
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Perimeter: \( 5 + 7 + 3 + 4 = 19 \) ft
8)
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Shape: Parallelogram
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Sides: 7 ft, 12 ft, 7 ft, 12 ft
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Perimeter: \( 7 + 12 + 7 + 12 = 38 \) ft
9)
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Shape: Rectangle
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Length: 9 m
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Width: 6 m
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Perimeter: \( 9 + 6 + 9 + 6 = 30 \) m
10)
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Shape: Rhombus
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Side length: 6 cm
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Perimeter: \( 6 + 6 + 6 + 6 = 24 \) cm
11)
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Shape: Rectangle
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Length: 14 yd
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Width: 8 yd
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Perimeter: \( 14 + 8 + 14 + 8 = 44 \) yd
12)
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Shape: Irregular quadrilateral
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Sides: 7 mm, 7 mm, 12 mm, 2.7 mm
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Perimeter: \( 7 + 7 + 12 + 2.7 = 28.7 \) mm
Final Answers:
1. \( \boxed{28} \) mm
2. \( \boxed{20} \) yd
3. \( \boxed{36} \) in
4. \( \boxed{22} \) ft
5. \( \boxed{24} \) cm
6. \( \boxed{16} \) yd
7. \( \boxed{19} \) ft
8. \( \boxed{38} \) ft
9. \( \boxed{30} \) m
10. \( \boxed{24} \) cm
11. \( \boxed{44} \) yd
12. \( \boxed{28.7} \) mm
Each perimeter is calculated by summing the lengths of all the sides of the respective quadrilateral.
Parent Tip: Review the logic above to help your child master the concept of area of quadrilaterals worksheet pdf.