To solve the problem of finding the perimeters of the given shapes, we need to use the formula for the perimeter of each shape. The perimeter is the sum of the lengths of all the sides of a polygon.
Step-by-Step Solution:
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1) Rhombus
- A rhombus has all four sides of equal length.
- Given side length = 4 inches.
- Perimeter = \( 4 \times \text{side length} \)
- Perimeter = \( 4 \times 4 \) inches = 16 inches.
Answer: Perimeter = 16 inches
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2) Hexagon
- A hexagon has six equal sides.
- Given side length = 10 feet.
- Perimeter = \( 6 \times \text{side length} \)
- Perimeter = \( 6 \times 10 \) feet = 60 feet.
Answer: Perimeter = 60 feet
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3) Trapezoid
- A trapezoid has four sides, and their lengths are given as 3 mm, 4 mm, 4 mm, and 6 mm.
- Perimeter = Sum of all side lengths
- Perimeter = \( 3 + 4 + 4 + 6 \) mm = 17 mm.
Answer: Perimeter = 17 mm
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4) Parallelogram
- A parallelogram has opposite sides of equal length.
- Given side lengths: 8 m and 4 m.
- Perimeter = \( 2 \times (\text{length} + \text{width}) \)
- Perimeter = \( 2 \times (8 + 4) \) m = \( 2 \times 12 \) m = 24 m.
Answer: Perimeter = 24 m
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5) Kite
- A kite has two pairs of adjacent sides of equal length.
- Given side lengths: 2 cm and 5 cm.
- Perimeter = \( 2 \times (\text{one pair} + \text{other pair}) \)
- Perimeter = \( 2 \times (2 + 5) \) cm = \( 2 \times 7 \) cm = 14 cm.
Answer: Perimeter = 14 cm
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6) Equilateral Triangle
- An equilateral triangle has all three sides of equal length.
- Given side length = 5 inches.
- Perimeter = \( 3 \times \text{side length} \)
- Perimeter = \( 3 \times 5 \) inches = 15 inches.
Answer: Perimeter = 15 inches
Final Answers:
1. Rhombus:
16 inches
2. Hexagon:
60 feet
3. Trapezoid:
17 mm
4. Parallelogram:
24 m
5. Kite:
14 cm
6. Equilateral Triangle:
15 inches
\boxed{
\begin{array}{ll}
1. & 16 \text{ inches} \\
2. & 60 \text{ feet} \\
3. & 17 \text{ mm} \\
4. & 24 \text{ m} \\
5. & 14 \text{ cm} \\
6. & 15 \text{ inches} \\
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of basic perimeter worksheet.
