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Students are searching for exercises on calculating the area of a parallelogram in 4th grade to practice not only the given exercises but also encounter various supplementary exercises. By doing so, they can confidently solve problems in quizzes and exams. Explore the following exercises on finding the area of a parallelogram in 4th-grade Math.
Different types of geometric problems with solutions in 4th grade
- Important Note:
- Review and study the formula for finding the area of a parallelogram before applying it to the exercises.
- The area is measured in square meters (m2), square decimeters (dm2), square centimeters (cm2), etc. (depending on the problem statement, so students need to pay attention to ensure correctness).
Exercises on finding the area of a parallelogram in 4th-grade Math textbook
Exercise 1 Page 104 Math Textbook Grade 4: Calculate the area of each parallelogram below:
Solution Method:
To calculate the area of a parallelogram, multiply the height by the length of the base.
Solution:
- The area of the parallelogram on the left is:
9 x 5 = 45 (cm2)
- The area of the parallelogram in the middle is:
13 x 4 = 52 (cm2)
- The area of the parallelogram on the right is:
9 x 7 = 63 (cm2)
Exercise 2 Page 104 Math Textbook Grade 4: Calculate the area:
Solution Method:
- To find the area of a rectangle, multiply the length by the width.
- To find the area of a parallelogram, multiply the height by the length of the base.
Solution:
- 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 given have equal areas.
Exercise 3 Page 104 Math Textbook Grade 4: Calculate the area of the parallelogram, given:
a) The length of the base is 4dm, and the height is 34cm.
b) The length of the base is 4m, and the height is 13dm.
Solution Method:
To find the area of a parallelogram, multiply the height by the length of the base.
Solution:
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)
- Note:
- Refer to additional solutions for Exercise on Page 104 Math Textbook Grade 4 regarding the area of a parallelogram
Exercises on finding the area of a parallelogram in 4th-grade exercise book
Exercise 1 Page 12 Exercise Book Math 4 Workbook 2: Mark (x) in the empty box under the figure with an area less than 20cm2:
The figure with an area less than 20cm2 is:
Solution:
The figure with an area less than 20cm2 is:
Exercise 2 Page 12 Exercise Book Math 4 Workbook 2: Complete the blanks:
Solution:
Exercise 3 Page 13 Exercise Book Math 4 Workbook 2: A parallelogram-shaped piece of cardboard has a base length of 14cm and a height of 7cm. Calculate the area of that piece of cardboard.
Solution:
Summary: S = a x h?
A represents the length of the base
H represents the height
Solution: The area of the parallelogram-shaped piece of cardboard is S = a x h = 14 x 7 = 98cm2
Answer: 98cm2
Advanced exercises on the area of a parallelogram
Exercise 1: A parallelogram has a base length of 10cm and a height of 7cm. The area of the parallelogram is ... cm2.
Solution:
The area of the parallelogram is S = 7 x 10 = 70cm2
Answer: 70cm2
Exercise 2: Calculate the area of the parallelogram, given the base length is 4m and the height is 13dm.
Solution:
Convert 4m to 40dm
The area of the parallelogram is S = 40 x 13 = 520dm2
Answer: 520dm2
Exercise 3: A parallelogram has a base length of 5dm and a height of 12cm. The area of the parallelogram is ... cm2.
Solution:
Convert 5dm to 50cm
The area of the parallelogram is 50 x 12 = 600cm2
Answer: 600cm2
Exercise 4: Calculate the area of the parallelogram given the base length is 14m, and the height is half of the base length.
Solution:
The height is equal to half of the base length = 1/2 x 14 = 7m
The area of the parallelogram is 7 x 14 = 98m2
Answer: 98m2
Exercise 5: Parallelogram ABCD has a height of 8cm, and the length of the base is 3 times the height. The area of parallelogram ABCD is ... cm2.
Solution:
The length of the base is 3 x 8 = 24cm
The area of the parallelogram is 24 x 8 = 192cm2
Answer: 192cm2
Exercise 6: Calculate the area of the parallelogram, given that the total length of the base and height is 24cm, and the base length is 4cm longer than the height.
Solution:
We have: Height + base length = 24cm, thus: Base length = 24 - Height (1)
However, base length - height = 4cm (2)
From (1) and (2), we deduce:
24 - Height - Height = 4cm
<=> Height = 10cm
Therefore, the base length is 24 - 10 = 14cm
The area of the base of the parallelogram is 10 x 14 = 140cm2
Answer: 140cm2
Exercise 7: A parallelogram has an area of 24cm2, and the length of the base is 6cm. Calculate the height of the parallelogram.
Solution:
The height of the parallelogram is 24 : 6 = 4cm
Answer: 4cm
Exercise 8: A parallelogram has an area of 2m2, and the length of the base is 20dm. Calculate the height of the parallelogram.
Solution:
Convert 2m2 to 200dm2
The height of the parallelogram is 200 : 20 = 10cm
Answer: 10cm
Exercise 9: A parallelogram has an area equal to the area of a square with a side length of 6cm and a height of 4cm. Calculate the length of the base of this parallelogram.
Solution:
The area of the square is 6 x 6 = 36cm2
The area of the parallelogram equals the area of the square = 36cm2
The length of the base of the parallelogram is 36 : 4 = 9cm
Answer: 9cm
Exercise 10: A parallelogram has a height of 9dm. Calculate the length of its base, given that its area is 54dm2.
Solution:
The length of the base is 54 : 9 = 6dm
Answer: 6dm
Exercise 11: A rectangular field has a base length of 40m and a height of 20m. The area of the field is ... m2.
Solution:
The area of the rectangular field is 20 x 40 = 800m2
Exercise 12: A garden plot in the shape of a parallelogram has a base length of 50m and a height of 40m. On this garden plot, people plant grapefruit trees. If 1 grapefruit tree is planted in every 4m2, how many grapefruit trees can be planted in the entire garden plot?
Solution:
The area of the garden plot is 50 x 40 = 2000m2
According to the problem, 1 grapefruit tree is planted in every 4m2, so the entire garden plot can accommodate 20,000 : 4 = 5,000 trees
Answer: 5,000 trees
Key Tips for Area of Parallelogram Problems in Grade 4 Math
In Grade 4 Math, problems related to the area of a parallelogram come in various forms, and students often encounter these types in assignments, tests, and exams:
- Type 1: Given height and base. Calculate the area.
- Type 2: Given the area of the parallelogram. Find the height.
- Type 3: Given height and area. Find the base.
- Type 4: The base of the parallelogram is expanded by m units, and the area increases by S1 units. Calculate the initial area of the parallelogram.
- Type 5: The base is reduced by m units, and the area decreases by S1 units. Calculate the initial area S.
In addition to students, teachers teaching Grade 4 Math can refer to, copy, and use these tips to create effective lesson plans for the area of parallelograms, ensuring the best teaching practices.
