PRACTICE PROBLEMS ON FINDING AREA OF PARALLELOGRAM

Find the Area and Perimeter of the following Parallelograms 

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)  Area  =  33 sq. cm, Perimeter  =  30 cm

2)  Area  =  70 sq. cm, Perimeter  =  40 cm

3)  Area  =  144 square units

4)  Area  =  15 square units

5)   Area  =  36 square units

6)   x  =  5

7)   (i) Area  =  90  sq. cm  (ii) h  =  7 m  (iii) b  =  13 mm

Word Problems on Finding Area of Parallelogram

Problem 1 :

Suresh won a parallelogram – shaped trophy in a state level chess tournament. He knows that the area of the trophy is 735 sq. cm and its base is 21 cm. what is the height of that trophy?

Solution

Problem 2 :

Janaki has a piece of fabric in the shape of a parallelogram. Its height is 12 m and its base is 18 m. She cuts the fabric into four equal parallelograms by cutting the parallel sides through its mid – points. Find the area of each new parallelogram.

Solution

Problem 3 :

A ground is in the shape of parallelogram. The height of the parallelogram is 14 metres and the corresponding base is 8 metres longer than its height. Find the cost of levelling the ground at the rate of $ 15 per sq. m.

Solution

Problem 4 :

A mirror is made of two congruent parallelograms as shown in the diagram. The parallelograms have a combined area of 9 1/3 square yards. The height of each parallelogram is 1 1/3 yards. How long is the base of each parallelogram ?

Solution

Problem 5 :

Find the base of a parallelogram if its area is 40 square cm and its altitude is 15 cm.

Solution

Problem 6 :

A land is in the shape of rhombus. The perimeter of the land is 160 m and one of the diagonal is 48 m. Find the area of the land.

Solution

Problem 7 :

The adjacent sides of a parallelogram measures 34 m, 20 m and the measure of one of the diagonal is 42 m. Find the area of parallelogram.

Solution

Answers :

1)  h  =  35 cm

2)  A  =   54 m2

3)  $ 4,620

4)  b  =  1/2 yards

5)  b  =  2.67 inches

6)  A  =  1536 m2

7)  A  =   672 m2

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