Let's solve each of the rectangle area problems step by step.
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🔷 Formula for Area of a Rectangle:
$$
\text{Area} = \text{Length} \times \text{Width}
$$
We'll convert mixed numbers to improper fractions or decimals where needed, then multiply.
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1) Rectangle: 3½ cm × 2½ cm
Convert to improper fractions:
- $3\frac{1}{2} = \frac{7}{2}$
- $2\frac{1}{2} = \frac{5}{2}$
$$
\text{Area} = \frac{7}{2} \times \frac{5}{2} = \frac{35}{4} = 8.75 \text{ cm}^2
$$
✔ Answer: 8.75 cm²
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2) Rectangle: 4½ ft × 2½ ft
Convert:
- $4\frac{1}{2} = \frac{9}{2}$
- $2\frac{1}{2} = \frac{5}{2}$
$$
\text{Area} = \frac{9}{2} \times \frac{5}{2} = \frac{45}{4} = 11.25 \text{ ft}^2
$$
✔ Answer: 11.25 ft²
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3) Rectangle: 2¼ m × 4 m
Convert:
- $2\frac{1}{4} = \frac{9}{4}$
$$
\text{Area} = \frac{9}{4} \times 4 = 9 \text{ m}^2
$$
✔ Answer: 9 m²
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4) Rectangle: 8½ in × 3½ in
Convert:
- $8\frac{1}{2} = \frac{17}{2}$
- $3\frac{1}{2} = \frac{7}{2}$
$$
\text{Area} = \frac{17}{2} \times \frac{7}{2} = \frac{119}{4} = 29.75 \text{ in}^2
$$
✔ Answer: 29.75 in²
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5) Rectangle: 5½ m × 5½ m
This is a square.
Convert:
- $5\frac{1}{2} = \frac{11}{2}$
$$
\text{Area} = \frac{11}{2} \times \frac{11}{2} = \frac{121}{4} = 30.25 \text{ m}^2
$$
✔ Answer: 30.25 m²
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6) Rectangle: 6 cm × 4¼ cm
Convert:
- $4\frac{1}{4} = \frac{17}{4}$
$$
\text{Area} = 6 \times \frac{17}{4} = \frac{102}{4} = 25.5 \text{ cm}^2
$$
✔ Answer: 25.5 cm²
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✔ Final Answers:
| Problem | Area |
|--------|------|
| 1) | 8.75 cm² |
| 2) | 11.25 ft² |
| 3) | 9 m² |
| 4) | 29.75 in² |
| 5) | 30.25 m² |
| 6) | 25.5 cm² |
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Let me know if you'd like these answers written as fractions instead of decimals!
Parent Tip: Review the logic above to help your child master the concept of area of squares and rectangles worksheet.
