Let’s solve each trapezoid area problem one by one using the formula:
Area = ½ × (base1 + base2) × height
We’ll plug in the numbers for each shape and calculate carefully.
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Problem 1:
Bases: 7 cm and 9 cm
Height: 5 cm
Area = ½ × (7 + 9) × 5
= ½ × 16 × 5
= 8 × 5
=
40 cm²
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Problem 2:
Bases: 12 cm and 8 cm
Height: 4 cm
Area = ½ × (12 + 8) × 4
= ½ × 20 × 4
= 10 × 4
=
40 cm²
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Problem 3:
Bases: 5 cm and 6 cm
Height: 2 cm
Area = ½ × (5 + 6) × 2
= ½ × 11 × 2
= 5.5 × 2
=
11 cm²
*(Note: You can also think of it as ½ × 2 = 1, then 1 × 11 = 11 — same result!)*
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Problem 4:
Bases: 9 m and 7 m
Height: 6 m
Area = ½ × (9 + 7) × 6
= ½ × 16 × 6
= 8 × 6
=
48 m²
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Problem 5:
Bases: 14 cm and 6 cm
Height: 5 cm
Area = ½ × (14 + 6) × 5
= ½ × 20 × 5
= 10 × 5
=
50 cm²
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Problem 6:
Bases: 6 cm and 11 cm
Height: 4 cm
Area = ½ × (6 + 11) × 4
= ½ × 17 × 4
= 8.5 × 4
=
34 cm²
*(Or: ½ × 4 = 2, then 2 × 17 = 34 — same thing!)*
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Final Answer:
1) 40
2) 40
3) 11
4) 48
5) 50
6) 34
Parent Tip: Review the logic above to help your child master the concept of area of triangles and parallelograms worksheet.