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 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Find the missing value.

Solution

Answers :

1)  A  =  64 cm2

2)  A  =  165 cm2

3)  A  =  40 square units

4)  x  =  3

5)  A  =  4 square units

6)  A  =  180 square inches

7)  (i) A  =  =  152 cm(ii) d2  =  36 m  (iii) d = 30 mm 

Word Problems on Finding Area of Rhombus

Problem 1 :

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

Solution

Problem 2 :

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 3 :

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 4 :

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

Solution

Problem 5 :

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 6 :

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 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 :

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

Problem 9 :

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

Answers :

1)  A  =  126 sq. cm

2)  d=  25 cm

3)   $ 280

4)  A  =  240 cm2

5)  d2  =  24 cm

6)  x  =  3

7)  A  =  240 square units

8)  A  =   187.5 in2

9)  height  =  9.6 inches

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.

Problem 2 :

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

Answers :

1)  A  =  24 square units

2)  A  =  24  square units.

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