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: 8 in and 4 in
Height: 6 in
Area = ½ × (8 + 4) × 6
= ½ × 12 × 6
= 6 × 6
=
36 in²
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Problem 2:
Bases: 6 ft and 9 ft
Height: 4 ft
Area = ½ × (6 + 9) × 4
= ½ × 15 × 4
= 7.5 × 4
=
30 ft²
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Problem 3:
Bases: 8 yd and 11 yd
Height: 6 yd
Area = ½ × (8 + 11) × 6
= ½ × 19 × 6
= 9.5 × 6
=
57 yd²
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Problem 4:
This is a sideways trapezoid — but same rule applies!
Bases: 6 yd and 4 yd (the two parallel sides)
Height: 5 yd (distance between them)
Area = ½ × (6 + 4) × 5
= ½ × 10 × 5
= 5 × 5
=
25 yd²
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Problem 5:
Bases: 7 in and 3 in
Height: 8 in (vertical side, since it’s perpendicular to bases)
Area = ½ × (7 + 3) × 8
= ½ × 10 × 8
= 5 × 8
=
40 in²
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Problem 6:
Bases: 8 ft and 12 ft
Height: 9 ft (vertical side, perpendicular to bases)
Area = ½ × (8 + 12) × 9
= ½ × 20 × 9
= 10 × 9
=
90 ft²
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Final Answer:
1) 36
2) 30
3) 57
4) 25
5) 40
6) 90
Parent Tip: Review the logic above to help your child master the concept of area of a trapezoid worksheet.
