Advertisements
Advertisements
Question
The perimeter of a rhombus is 40 cm. If one diagonal is 16 cm; find:
- It's other diagonal
- area
Advertisements
Solution
(i)
Perimeter of rhombus = 40 cm
Perimeter of rhombus = 4 × side
4 × side = 40
side = `40/4 = 10` cm
One diagonal = 16 cm
Diagonals of a rhombus bisect each other at right angles.
OB = `sqrt("AB"^2 - "OA"^2)`
= `sqrt((10)^2 - (8)^2)`
= `sqrt(100 - 64)`
= `sqrt(36)`
= 6 cm
∴ diagonal BD = `6 xx 2 = 12` cm
(ii)
Area of rhombus = `1/2 xx "product of diagonals"`
= `1/2 xx 12 xx 16`
= 96 cm2
∴ (i) 12 cm (ii) 96 cm2
APPEARS IN
RELATED QUESTIONS
Lengths of the diagonals of a rhombus are 15 cm and 24 cm, find its area.
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 missing value.
| Diagonal (d1) | Diagonal (d2) | Area |
| 19 cm | 16 cm |
The area of the rhombus with side 4 cm and height 3 cm is
The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is ______.
What is the area of the rhombus ABCD below if AC = 6 cm and BE = 4 cm?
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?
The walls and ceiling of a room are to be plastered. The length, breadth and height of the room are 4.5 m, 3 m, and 350 cm respectively. Find the cost of plastering at the rate of Rs 8 per m2.
Most of the sailboats have two sails, the jib and the mainsail. Assume that the sails are triangles. Find the total area sail of the sailboats to the nearest tenth.
