Let’s solve each trapezoid area problem step by step.
We use the formula:
Area = ½ × height × (base a + base b)
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First Trapezoid:
- Base a = 4 mm
- Base b = 7 mm
- Height = 2 mm
Plug into formula:
A = ½ × 2 × (4 + 7)
A = 1 × 11
A =
11 mm²
✔ Check: Half of 2 is 1, times 11 is 11. Correct.
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Second Trapezoid:
- Base a = 2 m
- Base b = 5 m
- Height = 6 m
A = ½ × 6 × (2 + 5)
A = 3 × 7
A =
21 m²
✔ Check: Half of 6 is 3, times 7 is 21. Correct.
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Third Trapezoid:
- Base a = 1 km
- Base b = 2 km
- Height = 3 km
A = ½ × 3 × (1 + 2)
A = 1.5 × 3
A =
4.5 km²
✔ Check: Half of 3 is 1.5, times 3 is 4.5. Correct.
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Fourth Trapezoid:
- Base a = 8 cm
- Base b = 6 cm
- Height = 5 cm
A = ½ × 5 × (8 + 6)
A = 2.5 × 14
A =
35 cm²
✔ Check: Half of 5 is 2.5, times 14 is 35. Correct.
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Final Answer:
11 mm², 21 m², 4.5 km², 35 cm²
Parent Tip: Review the logic above to help your child master the concept of area of triangles and trapezoids worksheet.
