Let’s solve each shape one by one. We’ll use the right formulas for area and plug in the numbers carefully.
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1. Triangle (base = 4 cm, height = 6 cm)
Area of triangle = (base × height) ÷ 2
= (4 × 6) ÷ 2
= 24 ÷ 2
=
12 cm²
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2. Rectangle (length = 8 cm, width = 3 cm)
Area of rectangle = length × width
= 8 × 3
=
24 cm²
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3. Square (side = 5 cm)
Area of square = side × side
= 5 × 5
=
25 cm²
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4. Parallelogram (base = 9 cm, height = 12 cm)
Area of parallelogram = base × height
= 9 × 12
=
108 cm²
*(Note: The slanted side is not used — only base and perpendicular height matter.)*
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5. Trapezoid #1 (top base = 7 cm, bottom base = 5 cm, height = 14 cm)
Area of trapezoid = [(top + bottom) × height] ÷ 2
= [(7 + 5) × 14] ÷ 2
= [12 × 14] ÷ 2
= 168 ÷ 2
=
84 cm²
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6. Trapezoid #2 (top base = 11 cm, bottom base = 19 cm, height = 10 cm)
Area = [(11 + 19) × 10] ÷ 2
= [30 × 10] ÷ 2
= 300 ÷ 2
=
150 cm²
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7. Trapezoid #3 (top base = 10 cm, bottom base = 58 cm, height = 12 cm)
Area = [(10 + 58) × 12] ÷ 2
= [68 × 12] ÷ 2
First, 68 × 12:
68 × 10 = 680
68 × 2 = 136
Total = 680 + 136 = 816
Then divide by 2: 816 ÷ 2 =
408 cm²
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✔ All calculations checked.
Final Answer:
Triangle: 12 cm²
Rectangle: 24 cm²
Square: 25 cm²
Parallelogram: 108 cm²
Trapezoid 1: 84 cm²
Trapezoid 2: 150 cm²
Trapezoid 3: 408 cm²
Parent Tip: Review the logic above to help your child master the concept of 6th grade math worksheet geometry.
