PRACTICE PROBLEMS FOR RHOMBUS

(1) Examine whether the given points

A (2, -3), B (6, 5),  C (-2, 1) and D (-6, -7)

forms a rhombus.         Solution

(2)  Three vertices of a rhombus taken in order are 

(2, −1),(3, 4) and (−2, 3) 

find the fourth vertex.       Solution

(3)  Assume quadrilateral EFGH is a rhombus. If the perimeter of EFGH is 24 and the length of diagonal EG = 10, what is the length of diagonal FH?      Solution

(4)  If the area of a rhombus is 112 cm² and one of its diagonal is 14 cm find its other.       Solution

(5)  The length of diagonal are ratio 5:4 area of rhombus is 2250 cm² find the length of diagonals.    Solution

(6)  If opposite angles of a rhombus are (2x)° and (3x-40)° then value of x is ?       Solution

(7)  ABCD is a rhombus in which AB is 3x-2, AC is 4x+4 and BD is 2x. Find x.

Solution

(8)  Cedric is constructing a kite in the shape of a rhombus. The spars of the kite measure 15 inches and 24 inches. How much fabric will Cedric need for the kite ?

Solution

(9)  A kite in the shape of a rhombus has diagonals that are 25 inches long and 15 inches long. What is the area of the kite?        Solution

(10)  The diagonals of a rhombus are 12 in. and 16 in. long. The length of a side of the rhombus is 10 in. What is the height of the rhombus ?      Solution

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.