Advertisements
Advertisements
Question
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 ______.
Options
4 cm
15 cm
16 cm
18 cm
Advertisements
Solution
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
RELATED QUESTIONS
Lengths of the diagonals of a rhombus are 15 cm and 24 cm, find its area.
Lengths of the diagonals of a rhombus are 16.5 cm and 14.2 cm, find its area.
The diagonals of a rhombus are 18 cm and 24 cm. Find:
(i) its area ;
(ii) length of its sides.
(iii) its perimeter
The perimeter of a rhombus is 40 cm. If one diagonal is 16 cm; find:
- It's other diagonal
- area
A sweet is in the shape of rhombus whose diagonals are given as 4 cm and 5 cm. The surface of the sweet should be covered by an aluminum foil. Find the cost of aluminum foil used for 400 such sweets at the rate of ₹ 7 per 100 sq.cm
The area of the rhombus is 128 sq.cm and the length of one diagonal is 32 cm. The length of the other diagonal is
The area of the rhombus is 576 sq.cm and the length of one of its diagonal is half of the length of the other diagonal then find the length of the diagonal
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.
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.
