To solve this worksheet, we need to calculate the
area of each rhombus using the given lengths of its diagonals.
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📐 Formula for the Area of a Rhombus:
>
Area = (d₁ × d₂) ÷ 2
Where:
-
d₁ and
d₂ are the lengths of the two diagonals.
This formula works because the diagonals of a rhombus bisect each other at right angles, dividing the rhombus into four right triangles. The area is half the product of the diagonals.
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Now let’s calculate the area for each rhombus:
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🔹 1st Rhombus: Diagonals = 8 and 10
> Area = (8 × 10) ÷ 2 = 80 ÷ 2 =
40
✔ Answer: 40
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🔹 2nd Rhombus: Diagonals = 5 and 12
> Area = (5 × 12) ÷ 2 = 60 ÷ 2 =
30
✔ Answer: 30
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🔹 3rd Rhombus: Diagonals = 3 and 9
> Area = (3 × 9) ÷ 2 = 27 ÷ 2 =
13.5
✔ Answer: 13.5
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🔹 4th Rhombus: Diagonals = 2 and 8
> Area = (2 × 8) ÷ 2 = 16 ÷ 2 =
8
✔ Answer: 8
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🔹 5th Rhombus: Diagonals = 7 and 15
> Area = (7 × 15) ÷ 2 = 105 ÷ 2 =
52.5
✔ Answer: 52.5
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🔹 6th Rhombus: Diagonals = 10 and 20
> Area = (10 × 20) ÷ 2 = 200 ÷ 2 =
100
✔ Answer: 100
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✔ Final Answers:
1.
40
2.
30
3.
13.5
4.
8
5.
52.5
6.
100
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📌 *Note: As the worksheet says, the shapes are not drawn to scale — always trust the numbers given, not the visual appearance.*
Let me know if you’d like to see a diagram or step-by-step breakdown for any one of them!
Parent Tip: Review the logic above to help your child master the concept of area of a rhombus worksheet.
