Let’s solve each problem step by step. We’ll use the correct area formulas for each shape.
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Problem 1: Square
It’s a square with side = 22 in.
Area of square = side × side
= 22 × 22
= 484
✔ Area =
484 in²
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Problem 2: Rectangle
Length = 28 m, Width = 12 m
Area of rectangle = length × width
= 28 × 12
Let’s compute:
20 × 12 = 240
8 × 12 = 96
240 + 96 = 336
✔ Area =
336 m²
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Problem 3: Parallelogram
Base = 10 m, Height = 9 m
Area of parallelogram = base × height
= 10 × 9
= 90
✔ Area =
90 m²
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Problem 4: Rhombus (or kite) with diagonals
Diagonals are 10 cm and 3 cm.
Area of rhombus/kite = (d₁ × d₂) ÷ 2
= (10 × 3) ÷ 2
= 30 ÷ 2
= 15
✔ Area =
15 cm²
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Problem 5: Trapezoid
Top base = 7 yd, Bottom base = 12 yd, Height = 1.5 yd
Area of trapezoid = [(base₁ + base₂) × height] ÷ 2
= [(7 + 12) × 1.5] ÷ 2
= [19 × 1.5] ÷ 2
First, 19 × 1.5:
19 × 1 = 19
19 × 0.5 = 9.5
Total = 28.5
Then divide by 2:
28.5 ÷ 2 = 14.25
✔ Area =
14.25 yd²
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Problem 6: Trapezoid
Top base = 5 mm, Bottom base = 9 mm, Height = 3 mm
Area = [(5 + 9) × 3] ÷ 2
= [14 × 3] ÷ 2
= 42 ÷ 2
= 21
✔ Area =
21 mm²
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Problem 7: Parallelogram
Base = 30 m, Height = 28 m
Area = base × height
= 30 × 28
Break it down:
30 × 20 = 600
30 × 8 = 240
600 + 240 = 840
✔ Area =
840 m²
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Problem 8: Rhombus with diagonals
Diagonals are 8 in and 6 in.
Area = (d₁ × d₂) ÷ 2
= (8 × 6) ÷ 2
= 48 ÷ 2
= 24
✔ Area =
24 in²
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Final Answer:
1. 484
2. 336
3. 90
4. 15
5. 14.25
6. 21
7. 840
8. 24
Parent Tip: Review the logic above to help your child master the concept of quadrilaterals practice worksheet.
