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प्रश्न
If the diagonals of a rhombus get doubled, then the area of the rhombus becomes ______ its original area.
उत्तर
If the diagonals of a rhombus get doubled, then the area of the rhombus becomes 4 times its original area.
Explanation:
We know that,
Area of a rhombus = `1/2 xx d_1 xx d_2`
Where, d1 and d2 are diagonals of the rhombus.
If diagonals get doubled, then the area = `1/2 2d_1 xx 2d_2 = 4(1/2 xx d_1 xx d_2)`
Hence, the new area becomes 4 times its original area.
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संबंधित प्रश्न
Each side of a rhombus is 18 cm. If the distance between two parallel sides is 12 cm, find its area.
The diagonals of a rhombus are 18 cm and 24 cm. Find:
(i) its area ;
(ii) length of its sides.
(iii) its perimeter
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| Diagonal (d1) | Diagonal (d2) | Area |
| 12 mm | 180 sq.mm |
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