Let’s solve each shape one by one. We’ll find the area using simple formulas for triangles, rectangles, squares, parallelograms, and trapezoids.
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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 = 2 cm)
Area of rectangle = length × width
= 8 × 2 =
16 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 = 8 cm, height = 12 cm)
Area of parallelogram = base × height
= 8 × 12 =
96 cm²
*(Note: The slanted side is not used — only the perpendicular height matters.)*
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5. Trapezoid (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 (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 (top base = 30 cm, bottom base = 58 cm, height = 12 cm)
Area = (30 + 58) × 12 ÷ 2 = 88 × 12 ÷ 2
First: 88 × 12 = 1056
Then: 1056 ÷ 2 =
528 cm²
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Final Answer:
Triangle: 12 cm²
Rectangle: 16 cm²
Square: 25 cm²
Parallelogram: 96 cm²
Trapezoid (7/5/14): 84 cm²
Trapezoid (11/19/10): 150 cm²
Trapezoid (30/58/12): 528 cm²
Parent Tip: Review the logic above to help your child master the concept of area worksheet.
