PRACTICE PROBLEMS ON FINDING AREA OF RHOMBUS

Find the Area of Rhombus Shown in the Following Figures

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Find the area of a rhombus whose base is 14 cm and height is 9 cm.

Solution

Problem 4 :

Find the missing value. 

Solution

Problem 5 :

The area of a rhombus is 100 sq. cm and length of one of its diagonals is 8 cm. Find the length of the other diagonal.

Solution

Problem 6 :

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.

Solution

Problem 7 :

If the area of a rhombus is 14504 m² and the ratio of diagonals is 37 : 49 then, find the length of the shorter diagonal.

Solution

Problem 8 :

If the diagonal of a rhombus of side 15 cm are in the ratio 3 : 4, find the area of rhombus.

a)  54 sq.cm     b)  108 sq.cm     c)  144 sq.cm

d) 200 sq.cm      e) None of these

Solution

Problem 1 :

If the lengths of the diagonals of a rhombus are  16 cm and 30 cm, find its area.

Solution

Problem 2 :

Find the area of the rhombus shown below. 

Solution

Problem 3 :

Area of a rhombus is 192 square cm. If the length of one of the diagonals is 16 cm, find the length of the other diagonal. 

Solution

Problem 4 :

Area of a rhombus is 120 square units. If the lengths of the diagonals are 10 units and (7x + 3) units, then find the value of x.  

Solution

Problem 5 :

Area of the rhombus shown below is 48 square inches. What is the value of x ? 

Solution

Problem 6 :

Find the area of the rhombus shown below.

Solution

Problem 7 :

Find the area of the rhombus having each side equal to 17 cm and one of its diagonals equal to 16 cm.

Solution

Problem 8 :

One of the diagonals of a rhombus is double and other diagonal. Its area is 25 sq.cm. The sum of the diagonal is :

a)  10 cm    b)  12 cm    c)  15 cm    d)  16 cm

Solution

Problem 9 :

The perimeter of the rhombus is 56 m, and its height is 5 m. Its area is 

a)  64 sq.m    b)  70 sq.m    c)  78 sq.m    d)  84 sq.m

Solution

Problem 10 :

The length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of other diagonal ?

a)  4/5    b)  2/5    c)  3/4    d)  1/4

Solution

Word Problems on Finding Area of Rhombus

Problem 1 :

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 ?

Problem 2 :

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?

Problem 3 :

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 ?

Find the Area of a Rhombus with Vertices

Problem 1 :

Find the area of a rhombus if its vertices are (3, 0) (4, 5) (-1, 4) and (-2, -1) taken in order.

Find the area of a rhombus if its vertices are A (1, 4) and B (5, 1) and C (1, -2) and D (-3, 1) taken in order.

Solution

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