Advertisements
Advertisements
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.
Advertisements
उत्तर
Since, rhombus is a parallelogram, all sides are equal.
So, area of a rhombus
area of a parallelogram
= side × altitude
= (5 × 4.8) cm2 = 24 cm2
Also, area of a rhombus
`1/2` (Product of its diagonals)
∴ 24 cm2 = `1/2` (8 × d) cm
where d is the length of the other diagonal.
`(48cm^2)/(8cm)` = d
= 6 cm = d
∴ The length of the other diagonal be 6 cm.
संबंधित प्रश्न
The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.
The area of a rhombus is 240 cm2 and one of the diagonal is 16 cm. Find another diagonal.
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?
The cost of fencing a square field at 60 paise per metre is Rs 1200. Find the cost of reaping the field at the rate of 50 paise per 100 sq. metres.
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.
A field in the form of a rhombus has each side of length 64 m and altitude 16 m. What is the side of a square field which has the same area as that of a rhombus?
Find the area of the following regular hexagon.
Polygon ABCDE is divided in different parts as shown in figure. If AD = 8 cm, AH = 6 cm, AG = 4 cm, AF = 3 cm and BF = 2 cm, CH = 3cm, EG = 2.5 cm. Then find the area of the polygon.
