Advertisements
Advertisements
प्रश्न
Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.
Advertisements
उत्तर
Given:
Side of the rhombus = 6 cm
Altitude = 4 cm
One of the diagonals = 8 cm
Area of the rhombus = Side x Altitude \[= 6 x 4 = 24 {cm}^2 . . . . . . . . (i)\]
We know: Area of rhombus \[= \frac{1}{2} \times d_1 \times d_2 \]
Using (i):
\[24 = \frac{1}{2} \times d_1 \times d_2 \]
\[24 = \frac{1}{2} \times 8 \times d_2 \]
\[ d_2 = 6 cm\]
APPEARS IN
संबंधित प्रश्न
Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.
The floor of a building consists of 3000 tiles, which are rhombus shaped, and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor if the cost per m2 is ₹ 4.
A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m2?
The area of a rhombus is 240 cm2 and one of the diagonal is 16 cm. Find another diagonal.
The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost per m2 is Rs 4.
The length of a side of a square field is 4 m. what will be the altitude of the rhombus, if the area of the rhombus is equal to the square field and one of its diagonal is 2 m?
A garden is in the form of a rhombus whose side is 30 metres and the corresponding altitude is 16 m. Find the cost of levelling the garden at the rate of Rs 2 per m2.
The area of a rhombus is equal to the area of a triangle whose base and the corresponding altitude are 24.8 cm and 16.5 cm respectively. If one of the diagonals of the rhombus is 22 cm, find the length of the other diagonal.
Find the area of the following polygon, if AL = 10 cm, AM = 20 cm, AN = 50 cm, AO = 60 cm and AD = 90 cm.
Find the area of the following regular hexagon.
