Buzz
Many Grade 3 students struggle with memorizing the formula for calculating the area of a square. Solving these Grade 3 Math exercises on square areas will reinforce their understanding and quicken formula memorization, empowering them to tackle related square problems with confidence.These exercises on finding the area of a square in Grade 3 are part of the square area section on pages 153-154 of the Textbook, Workbook, and additional advanced supplementary problems. Students are encouraged to refer to and practice these exercises to enhance their skills in calculating the area of a square.
Grade 3 Square Area Problem Solving
Note:- Review the formula for calculating the area of a square before attempting the exercises.
- The unit of area is m2, cm2, dm2, etc. (depending on the requirements of the given problem).Grade 3 Math Square Area Exercises in Textbook Page 153
Exercise 1 Page 153 Math 3 Textbook: Fill in the blanks (according to the example):
Solution:
Exercise 2 Page 154 Math 3 Textbook: A square sheet of paper with a side length of 80mm. Calculate the area of that sheet of paper in square centimeters.
Solution:
Convert 80mm to 8cm
The area of the sheet of paper is 8 x 8 = 64cm2
The area of the square is 5 x 5 = 25cm2
Exercise 3 Page 154 Math 3 Textbook: A square has a perimeter of 20cm. Calculate the area of that square.
Solution:
The side of the square is 20 : 4 = 5 cm
The square has an area of 5 x 5 = 25cm2.
Answer: 25cm2
- Note:
- Refer to the details in the Solution to Exercise on pages 153,154 Mathematics Textbook for Grade 3 regarding the square problem.
Exercise on calculating the area of a square in Grade 3 Mathematics workbook
Exercise 1 on page 65 Workbook for Mathematics Grade 3 Volume 2: Fill in the blanks (following the example):
Solution:
Exercise 2 on page 65 Workbook for Mathematics Grade 3 Volume 2: A square piece of plastic with a side length of 40mm. What is the area of that piece of plastic in square millimeters?
Solution:
Convert 40mm to 4cm.
The area of the plastic piece is 4 x 4 = 16cm2.
Answer: 16cm2
Exercise 3 on page 65 Workbook for Mathematics Grade 3 Volume 2: A square has a perimeter of 24cm. Calculate the area of that square.
Solution:
The side length of the square is 24 : 4 = 6cm.
The area of the square is 6 x 6 = 36cm2.
Answer: 36cm2
Exercise 4 on page 65 Workbook for Mathematics Grade 3 Volume 2: Arrange 6 square pieces of plastic with a side length of 4cm into a rectangle (see the illustration). Calculate the area of that rectangle.
Solution:
The area of each square piece of plastic is 4 x 4 = 16cm2.
The area of the rectangle formed by assembling the plastic pieces is 16 x 6 = 96cm2.
Answer: 96cm2
Advanced and Supplementary Exercise on Calculating the Area of a Square for Grade 3 Mathematics
Exercise 1: Find the area of a square with a perimeter equal to the perimeter of a rectangle with length 12 cm and width 6 cm.
Solution:
The perimeter of the rectangle is 2 x (12 + 6) = 36cm.
As stated in the problem, the perimeter of the square equals the perimeter of the rectangle = 36cm.
The side length of the square is 36 : 4 = 9cm.
The area of the square is 9 x 9 = 81cm2.
The side of the rectangle, after expanding from the square, is a + 2 + 4 = a + 6
The perimeter of the rectangle is (a + a + 6) x 2 = 48
Consequently, the side of the square is a = 9
The area of the square is 9 x 9 = 81cm2
Answer: 81 square centimeters
Exercise 3: A square has a side equal to the width of a rectangle. Given that the rectangle has a perimeter of 56cm and a length of 20 cm. Calculate the area of the square.
Solution:
The width of the rectangle is 56 : 2 - 20 = 8cm
The side of the square = the width of the rectangle = 8cm
The area of the square is 8 x 8 = 64cm2
Answer: 64 square centimeters
Exercise 4: Calculate the area of a square with a perimeter equal to the perimeter of a rectangle with a length of 12cm and a width equal to half of its length.
Solution:
The width of the rectangle is 12 : 2 = 6cm
The perimeter of the rectangle is 2 x (12 + 6) = 36cm
The perimeter of the square = The perimeter of the rectangle = 36cm
The side of the square is 36 : 4 = 9cm
The area of the square is 9 x 9 = 81 cm2
Answer: 81cm
Exercise 5: A square has an area equal to the area of a rectangle with a length of 25m and a width of 4m. Calculate the perimeter of that square.
Solution:
The area of the rectangle is 25 x 4 = 100m2
The area of the square = The area of the rectangle = 100m2
The side of the square is √100 = 10m
The perimeter of the square is 10 x 4 = 40m
Answer: 40m
Exercise 6: A square has a perimeter equal to the perimeter of a rectangle with side lengths of 130m and 70m. Calculate the area of that square.
Solution:
The perimeter of the rectangle is 2 x (130 + 70) = 400m
The perimeter of the square = The perimeter of the rectangle = 400m
The side of the square is 400 : 4 = 100m
The area of the square is 100 x 100 = 10,000m2
Answer: 10,000 m2
Exercise 7: Find the area of a square with a perimeter equal to the area of a rectangle with a length of 12cm and a width equal to half of its length.
Solution:
The width of the rectangle = 12 : 2 = 6cm
The area of the rectangle = 6 x 12 = 72cm2
The perimeter of the square = The area of the rectangle = 72cm
The side of the square is 72 : 4 = 18cm
The area of the square is 18 x 18 = 324cm2
Answer: 169cm2
Students practice various exercises to calculate the area of a square in 3rd-grade Math, ensuring they can solve related problems. This type of exercise is also a valuable resource for teachers to reference.
