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The side and the height of a rhombus are...

The side and the height of a rhombus are 13 and 20 cms respectively. Find the area.

A

`260 cm^(2)`

B

`275 cm^(2)`

C

`290 cm^(2)`

D

None of these

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The correct Answer is:
To find the area of a rhombus when the side and the height are given, we can use the formula: **Area of a Rhombus = Side × Height** ### Step-by-Step Solution: 1. **Identify the given values:** - Side of the rhombus (s) = 13 cm - Height (h) = 20 cm 2. **Use the formula for the area of a rhombus:** \[ \text{Area} = \text{Side} \times \text{Height} \] 3. **Substitute the given values into the formula:** \[ \text{Area} = 13 \, \text{cm} \times 20 \, \text{cm} \] 4. **Calculate the area:** \[ \text{Area} = 260 \, \text{cm}^2 \] 5. **Conclusion:** The area of the rhombus is \( 260 \, \text{cm}^2 \).
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Knowledge Check

  • The lengths of the two diagonals of a rhombus are 8 cm and 15 cm respectively. Find its area (in cm^(2) ).

    A
    30
    B
    12
    C
    90
    D
    60
  • A rhombus and a square have the same base. If the diagonals of the rhombus measure 30 cm and 16 cm respectively, find the area of the square.

    A
    225 `cm^(2)`
    B
    200 `cm^(2)`
    C
    240 `cm^(2)`
    D
    289 `cm^(2)`
  • The lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively. Its area is

    A
    `432cm^(2)`
    B
    `216cm^(2)`
    C
    `108cm^(2)`
    D
    `144cm^(2)`
  • DISHA PUBLICATION-MENSURATION-Practice Exercises ( Foundation Level)
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    6. A circle and a rectangle have the same perimeter.The sides of the rect...

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    7. If the perimeter and diagonal of a rectangle are 14 and 5 cms respecti...

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    8. If the circumference and the area of a circle are numerically equal...

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    9. In a parallelogram, the length of one diagonal and the perpendicular d...

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    10. The area of a triangle is 615 m^(2). If one of its sides is 123 metre,...

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    13. If the area of a circle decreases by 36%, then the radius of a circle ...

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    15. The area of a square field is 576 km^(2). How long will it take for a ...

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