Let’s solve each problem step by step.
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Problem 1: Parallelogram
Base = 5/8 yd
Height = 3/4 yd
Area of parallelogram = base × height
= (5/8) × (3/4)
Multiply numerators: 5 × 3 = 15
Multiply denominators: 8 × 4 = 32
→ Area =
15/32 yd²
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Problem 2: Rectangle
Length = 6 ft
Width = 3/4 ft
Area = length × width
= 6 × (3/4)
= (6/1) × (3/4) = 18/4
Simplify: divide numerator and denominator by 2 → 9/2
Or as mixed number: 4 1/2
→ Area =
9/2 ft² or
4½ ft²
*(We’ll use improper fraction unless asked otherwise — so 9/2 ft²)*
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Problem 3: Square
Side = 4/5 in
Area of square = side × side
= (4/5) × (4/5) = 16/25
→ Area =
16/25 in²
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Problem 4: Square
Side = 3/4 ft
Area = (3/4) × (3/4) = 9/16
→ Area =
9/16 ft²
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Problem 5: Trapezoid? Wait — looks like a parallelogram again.
Actually, looking at the shape — it has two parallel sides labeled 7/8 m and 7/8 m? No — wait, one side is 7/8 m, and the height is 2/3 m. But actually, this is drawn as a slanted rectangle — likely meant to be a parallelogram with base 7/8 m and height 2/3 m.
So area = base × height
= (7/8) × (2/3)
= (7×2)/(8×3) = 14/24
Simplify: divide numerator and denominator by 2 → 7/12
→ Area =
7/12 m²
*(Note: If it were a trapezoid, we’d need both bases — but only one base is given, and height — so it must be a parallelogram.)*
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Problem 6: Rectangle
Width = 1/2 cm
Height = 2 1/4 cm → convert to improper fraction: 9/4 cm
Area = width × height
= (1/2) × (9/4) = 9/8
→ Area =
9/8 cm² or
1⅛ cm²
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Problem 7: Square with side 1/8 foot
Area = (1/8) × (1/8) = 1/64
→ Area =
1/64 ft²
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Problem 8: Rectangle with length 3/4 inches and width 1 1/3 inches
First, convert 1 1/3 to improper fraction: 4/3
Area = (3/4) × (4/3)
Multiply: (3×4)/(4×3) = 12/12 = 1
→ Area =
1 inch²
*(Nice! The fractions cancel out perfectly.)*
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Final Answer:
1. 15/32 yd²
2. 9/2 ft²
3. 16/25 in²
4. 9/16 ft²
5. 7/12 m²
6. 9/8 cm²
7. 1/64 ft²
8. 1 in²
Parent Tip: Review the logic above to help your child master the concept of quadrilateral area worksheet answers.
