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.
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.
APPEARS IN
संबंधित प्रश्न
Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. It the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.
The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.
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.
Find the area of a rhombus, each side of which measures 20 cm and one of whose diagonals is 24 cm.
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?
Find the area of the field in the form of a rhombus, if the length of each side be 14 cm and the altitude be 16 cm.
In exchange of a square plot one of whose sides is 84 m, a man wants to buy a rectangular plot 144 m long and of the same area as of the square plot. Find the width of the rectangular plot.
The area of a rhombus is 84 m2. If its perimeter is 40 m, then find its altitude.
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.
A regular hexagon is inscribed in a circle of radius r. The perimeter of the regular hexagon is ______.
