Absolutely! Let’s solve this worksheet step by step, explaining the formulas and calculations for each shape.
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## 🟦
Section A: Area of Squares and Rectangles
>
Formula:
> -
Square: Area = side × side = `s²`
> -
Rectangle: Area = length × width = `l × w`
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1) Square with side 10 cm
Area = 10 cm × 10 cm = 100 cm²
✔ Answer: 100 cm²
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2) Square with side 6 cm
Area = 6 cm × 6 cm = 36 cm²
✔ Answer: 36 cm²
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3) Square (rotated) with side 12 cm
Rotation doesn’t change area. Still a square.
Area = 12 cm × 12 cm = 144 cm²
✔ Answer: 144 cm²
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4) Square with side 18 mm
Area = 18 mm × 18 mm = 324 mm²
✔ Answer: 324 mm²
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5) Rectangle: 9 cm × 4 cm
Area = 9 cm × 4 cm = 36 cm²
✔ Answer: 36 cm²
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6) Rectangle: 11 cm × 9 cm
Area = 11 cm × 9 cm = 99 cm²
✔ Answer: 99 cm²
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7) Rectangle: 78 mm × 15 mm
Area = 78 mm × 15 mm = 1170 mm²
✔ Answer: 1170 mm²
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8) Rectangle: 9.1 m × 2.5 m
Area = 9.1 × 2.5 = 22.75 m²
✔ Answer: 22.75 m²
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## 🟩
Section B: Area of Parallelograms and Rhombuses
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Formula:
> -
Parallelogram: Area = base × height = `b × h`
> *(Height must be perpendicular to the base)*
> -
Rhombus: Can use same as parallelogram, or if diagonals given: `(d₁ × d₂)/2`
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1) Parallelogram: base = 9 cm, height = 6 cm
Area = 9 cm × 6 cm = 54 cm²
✔ Answer: 54 cm²
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2) Parallelogram: base = 22 cm, height = 13 cm
*(Note: The 16 cm is a slant side — ignore it. Height is perpendicular.)*
Area = 22 cm × 13 cm = 286 cm²
✔ Answer: 286 cm²
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3) Rhombus (or parallelogram): base = 7 cm, height = 3 cm
*(The 4 cm is another side — not needed if height is given.)*
Area = 7 cm × 3 cm = 21 cm²
✔ Answer: 21 cm²
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4) Parallelogram: base = 5 cm, height = 7 cm
*(Even though sides are 5 cm, height is perpendicular to base.)*
Area = 5 cm × 7 cm = 35 cm²
✔ Answer: 35 cm²
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5) Rhombus with diagonals: d₁ = 14 cm, d₂ = 20 cm
Area = (d₁ × d₂) / 2 = (14 × 20) / 2 = 280 / 2 = 140 cm²
✔ Answer: 140 cm²
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6) Parallelogram: base = 13 mm, height = 27 mm
*(This is a “chevron” or arrow shape, but still a parallelogram — area = base × height)*
Area = 13 mm × 27 mm = 351 mm²
✔ Answer: 351 mm²
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##
✔ Final Answers Summary:
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Section A:
1) 100 cm²
2) 36 cm²
3) 144 cm²
4) 324 mm²
5) 36 cm²
6) 99 cm²
7) 1170 mm²
8) 22.75 m²
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Section B:
1) 54 cm²
2) 286 cm²
3) 21 cm²
4) 35 cm²
5) 140 cm²
6) 351 mm²
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Let me know if you’d like a printable version or want to check your own answers against these! 😊
Parent Tip: Review the logic above to help your child master the concept of quadrilateral worksheets.
