Advertisements
Advertisements
प्रश्न
The area of the rhombus is 576 sq.cm and the length of one of its diagonal is half of the length of the other diagonal then find the length of the diagonal
Advertisements
उत्तर
Let one diagonal of the rhombus = d2 cm
The other diagonal d2 = `1/2` × d1 cm
Area of the rhombus = 576 sq.cm
`1/2` × (d1 × d2) = 576
`1/2` × (d1 × `1/2` d1) = 576
d1 × d1 = 576 × 2 × 2
= 6 × 6 × 4 × 4 × 2 × 2
d1 × d1 = 6 × 4 × 2 × 6 × 4 × 2
d1 = 6 × 4 × 2
d1 = 48 cm
d2 = `1/2` × 48 = 24 cm
∴ Length of the diagonals d1 = 48 cm and d2 = 24 cm.
APPEARS IN
संबंधित प्रश्न
Each side of a rhombus is 18 cm. If the distance between two parallel sides is 12 cm, find its area.
Find the area of rhombus PQRS shown in the following figure.
Find the area of a rhombus whose base is 14 cm and height is 9 cm.
Find the missing value.
| Diagonal (d1) | Diagonal (d2) | Area |
| 26 m | 468 sq.m |
The area of the rhombus is 128 sq.cm and the length of one diagonal is 32 cm. The length of the other diagonal is
The height of the rhombus whose area 96 sq.m and side 24 m is
The angle between the diagonals of a rhombus is
A man has to build a rhombus shaped swimming pool. One of the diagonal is 13 m and the other is twice the first one. Then find the area of the swimming pool and also find the cost of cementing the floor at the rate of ₹ 15 per sq.cm
If the diagonals of a rhombus get doubled, then the area of the rhombus becomes ______ its original area.
The area of a rectangular field is 48 m2 and one of its sides is 6 m. How long will a lady take to cross the field diagonally at the rate of 20 m/minute?
