Advertisements
Advertisements
प्रश्न
Area of a quadrilateral ABCD is 20 cm2 and perpendiculars on BD from opposite vertices are 1 cm and 1.5 cm. The length of BD is ______.
विकल्प
4 cm
15 cm
16 cm
18 cm
उत्तर
Area of a quadrilateral ABCD is 20 cm2 and perpendiculars on BD from opposite vertices are 1 cm and 1.5 cm. The length of BD is 16 cm.
Explanation:
Area of the given quadrilateral = `1/2` (Sum of altitudes) × Corresponding diagonal
⇒ `20 = 1/2(1 + 15) xx BD` ...[Given]
⇒ `1/2 xx 2.5 xx "BD = 20 cm^2`
⇒ `BD = 20 xx 2/2.5 = 40/2.5 = 16 cm`
APPEARS IN
संबंधित प्रश्न
If length of a diagonal of a rhombus is 30 cm and its area is 240 sq cm, find its perimeter.
The diagonals of a rhombus are 18 cm and 24 cm. Find:
(i) its area ;
(ii) length of its sides.
(iii) its perimeter
The length of the diagonals of a rhombus is in ratio 4 : 3. If its area is 384 cm2, find its side.
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 angle between the diagonals of a rhombus is
One of the diagonals of a rhombus is thrice as the other. If the sum of the length of the diagonals is 24 cm, then find the area of the rhombus.
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
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.
