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Extra Practice 38: Finding Area, Perimeter, or Both of Polygons.

Worksheet with 12 geometric shapes including triangles, rectangles, and parallelograms, each with labeled dimensions for finding area, perimeter, or both.

Worksheet with 12 geometric shapes including triangles, rectangles, and parallelograms, each with labeled dimensions for finding area, perimeter, or both.

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Show Answer Key & Explanations Step-by-step solution for: Finding Areas of Polygons- Extra Practice Worksheet Lesson Plan ...
Let’s solve each problem one by one. We’ll find the area of each polygon using the correct formula for its shape. Remember to include units (like cm² or m²) in your final answer!

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1. Rectangle
Length = 14 ft, Width = 5 ft
Area = length × width = 14 × 5 = 70 ft²

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2. Triangle
Base = 8 in, Height = 3 in
Area = ½ × base × height = ½ × 8 × 3 = 4 × 3 = 12 in²

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3. Square
Side = 9 mm
Area = side × side = 9 × 9 = 81 mm²

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4. Parallelogram
Base = 20 mm, Height = 10 mm
Area = base × height = 20 × 10 = 200 mm²

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5. Triangle
Base = 16 yd, Height = 12 yd
Area = ½ × 16 × 12 = 8 × 12 = 96 yd²

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6. Trapezoid
Top base = 3 m, Bottom base = 6 m, Height = 4 m
Area = ½ × (top + bottom) × height = ½ × (3 + 6) × 4 = ½ × 9 × 4 = 4.5 × 4 = 18 m²

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7. Triangle
Base = 6 in, Height = 4 in
Area = ½ × 6 × 4 = 3 × 4 = 12 in²

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8. Rectangle
Length = 12 cm, Width = 3 cm
Area = 12 × 3 = 36 cm²

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9. Square
Side = 12 m
Area = 12 × 12 = 144 m²

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10. Right Triangle
Legs are 12 ft and 14 ft — these are the base and height
Area = ½ × 12 × 14 = 6 × 14 = 84 ft²

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11. Parallelogram
Base = 8 in, Height = 3 in
Area = 8 × 3 = 24 in²

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Final Answer:
1. 70 ft²
2. 12 in²
3. 81 mm²
4. 200 mm²
5. 96 yd²
6. 18 m²
7. 12 in²
8. 36 cm²
9. 144 m²
10. 84 ft²
11. 24 in²
Parent Tip: Review the logic above to help your child master the concept of area of polygons worksheet.
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