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

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

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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