Advertisements
Advertisements
प्रश्न
If the diagonals of a rhombus get doubled, then the area of the rhombus becomes ______ its original area.
Advertisements
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.
APPEARS IN
संबंधित प्रश्न
Lengths of the diagonals of a rhombus are 15 cm and 24 cm, find its area.
Lengths of the diagonals of a rhombus are 16.5 cm and 14.2 cm, find its area.
If perimeter of a rhombus is 100 cm and length of one diagonal is 48 cm, what is the area of the quadrilateral?
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
The perimeter of a rhombus is 40 cm. If one diagonal is 16 cm; find:
- It's other diagonal
- area
The length of the diagonals of a rhombus is in ratio 4 : 3. If its area is 384 cm2, find its side.
Find the missing value.
| Diagonal (d1) | Diagonal (d2) | Area |
| 26 m | 468 sq.m |
The area of the rhombus with side 4 cm and height 3 cm is
Area of a quadrilateral ABCD is 20 cm2 and perpendiculars on BD from opposite vertices are 1 cm and 1.5 cm. The length of BD is ______.
