4th Grade Parallelogram Exercises with Answers

Exercises on finding the area and perimeter of parallelograms for 4th grade, ranging from basic to advanced. All exercises include answers. Before attempting, review the concepts and formulas for calculating parallelogram area and perimeter.

Advanced exercises on the area of parallelograms

 Note

Refer to and apply the formula for parallelogram area calculation correctly in problems related to area calculation. Also, pay attention to the problem units; if they differ, convert them to the same unit. 

1. Parallelogram Exercises in 4th-grade Textbooks

Exercise 2 Page 104 Textbook Math 4: Calculate the area:

Answers:
- The area of the rectangle is:
          10 x 5 = 50 (cm2)
- The area of the parallelogram is:
         10 x 5 = 50 (cm2)
Observation: The rectangle and parallelogram provided have equal areas.

Exercise 3 Page 104 Textbook Math 4: Calculate the area of a parallelogram, given:

a) Base length is 4dm, height is 34cm.
b) Base length is 4m, height is 13dm.

Answers:
a) 4dm = 40cm
The area of the parallelogram is:
40 x 34 = 1360 (cm2)
b) 4m = 40dm
The area of the parallelogram is:
40 x 13 = 520 (dm2)

Answers:
- The area of the left parallelogram is:
        9 x 5 = 45 (cm2)
- The area of the middle parallelogram is:
        13 x 4 = 52 (cm2)
- The area of the right parallelogram is:
        9 x 7 = 63 (cm2)

Exercise 2 Page 104 Textbook Math 4: Calculate the area of:

Answers:
- The area of the rectangle is:
          10 x 5 = 50 (cm2)
- The area of the parallelogram is:
         10 x 5 = 50 (cm2)
Observation: The rectangle and parallelogram provided have equal areas.

Exercise 3 Page 104 Textbook Math 4: Calculate the area of parallelogram, given:

a) Base length is 4dm, height is 34cm.
b) Base length is 4m, height is 13dm.

Answers:
a) 4dm = 40cm
The area of the parallelogram is:
40 x 34 = 1360 (cm2)
b) 4m = 40dm
The area of the parallelogram is:
40 x 13 = 520 (dm2)

Answers:
- Left parallelogram area:
        9 x 5 = 45 (cm2)
- Middle parallelogram area:
        13 x 4 = 52 (cm2)
- Right parallelogram area:
        9 x 7 = 63 (cm2)

Answers:
Shapes 1, 2, and 5 are parallelograms.
(Shapes 3, 4 are not parallelograms because a pair of opposite sides are not parallel).

Exercise 2 Page 102, 103 Math 4 Textbook: Given the quadrilateral ABCD:

Answers:
In the two given shapes, the parallelogram MNPQ has opposite sides that are parallel and equal.

Exercise 3 Page 102, 103 Math 4 Textbook: Draw two additional lines to form a parallelogram:

Answers:

 Attention

Solve exercises on page 104 Math 4 Textbook to practice parallelograms. Students, engage in these exercises to reinforce your knowledge and enhance math skills.

Area is measured in square meters (m2), square centimeters (cm2), square decimeters (dm2), etc.

2. Exercises on parallelograms in 4th-grade workbook

Exercise 1 Page 12 Workbook Math 4 Volume 2: Mark (×) in the empty box under the figure with an area less than 20cm2:

Figures with an area less than 20cm2 are:

Solution:

Exercise 2 Page 12 Workbook Math 4 Volume 2: Complete the blank spaces:

Solution:

3. Additional and advanced exercises on parallelograms

Question 1:

Complete the blanks:

Solution:

The area measurements filled in the blanks are: 63cm2; 108cm2; 180cm2; 378cm2.

Question 2:

Complete the blanks:

Solution:

Question 3:

Calculate the area of the parallelogram, given:

a) The length of the base is 5dm, and the height is 60cm;

b) The length of the base is 7cm, and the height is 3dm;

c) The length of the base is 8dm, and the height is 1m;

d) The length of the base is 62dm, and the height is 2m.

Solution:

a) 94cm; b) 60dm; c) 3900m; d) 64dm.

Question 4:

Parallelogram ABCD has the length of side AB as a and the length of side BC as b. Calculate the perimeter of the parallelogram, given:

a) a = 35cm; b = 12cm

b) a = 26dm; b = 4dm

c) a = 1km 200m; b = 750m

d) a = 12dm; b = 2m

Solution:

The length of the base of the parallelogram is:

500 x 2 = 1000 (m)

The area of the forest is:

1000 x 500 = 500000 (m2)

Question 5:

A forest area in the shape of a parallelogram has a height of 500m, and the length of the base is twice the height.

Calculate the area of that forest.

Solution:

The length of the base of the parallelogram is:

500 x 2 = 1000 (m)

The area of the forest is:

1000 x 500 = 500000 (m2)

Question 6:

In a parallelogram-shaped rice field with a base length of 100m and a height of 50m, crops are grown. If the yield is 50kg of rice per 100m2, how many tons of rice have been harvested in that field?

Solution:

The area of the field is:

100 x 50 = 5000 (m2)

The amount of harvested rice is:

50 x (5000 : 100) = 2500 (kg)

2500kg = 25 tons

Question 7:

Mark D for correct, S for wrong.

The area of a parallelogram is 600m2. The parallelogram has:

a) The base length is 300m, and the height is 300m ...

b) The base length is 10m, and the height is 60m ...

c) The base length is 60m, and the height is 60m ...

d) The base length is 20m, and the height is 30m ...

Solution:

a) S; b) I; c) S; d) I.

Question 8: In quadrilateral ABCD, the pairs of lines that are parallel are:

A. Lines AD and BC

B. Lines AD and AB

C. Lines AB and CD

D. Lines AB and BC

Solution:

Answer A

Question 9:

Correct write C, wrong write

In parallelogram ABCD:

A. AB is parallel to CD .......

B. AB is perpendicular to CD .......

C. AB equals DC and AD equals BC .......

D. AB equals BC equals CD equals DAD .......

Solution:

a) Đ; b) s; c) Đ; d) s.

Question 10:

Draw two more lines on each figure to form a rectangle or parallelogram.

Solution:

Students draw on their own.

Question 11:

Enhance each figure by adding two lines to create a rectangle or parallelogram.

Solution:

Students, draw on your own.

Question 12:

In the illustration below, given GD = DC = CE.

Identify the figures with an area equal to the rectangle ABCD.

Identify the figure with an area twice that of the rectangle ABCD.

Solution:

a) Shapes with areas equal to the area of rectangle ABCD are:

Parallelogram ABDG; Parallelogram ABEC; Triangle AGC; Triangle BDE.

b) The shape with an area twice that of rectangle ABCD is: Quadrilateral ABEG.

Not only useful for 4th-grade students, but this workbook on parallelograms is also highly beneficial for math teachers, providing additional exercises for students, offering a diverse range of parallelogram exercises.