Solving Grade 3 Math on pages 30, 31, 32, 33 SGK Workbook Volume 2
Solving exercises from pages 30 to 34 of Math 3 Workbook Volume 2, Connect with Life series:
Area of Rectangles. Area of Squares
Activity 1
1. Solve Exercise 1 Page 30 Math Workbook Grade 3
Problem: Number?
Guidance:
Observe the drawings to determine the length and width of each rectangle.
Area of rectangle = length x width (with the same unit of measurement).
Answer:
2. Solve Exercise 2 Page 31 Math Workbook Grade 3
Problem: A rectangular piece of wood has a width of 5 cm and a length of 15 cm. Calculate the area of this piece of wood.
Guidance: Area of the rectangular piece of wood = length x width (with the same unit of measurement).
Answer:
The area of the rectangular piece of wood is:
15 x 5 = 75 (cm2)
Answer: 75 cm2
3. Solve Exercise 3 Page 31 Math Workbook Grade 3
Problem: Buratino broke a chocolate bar into four small pieces and shared them with four friends as shown in the drawing. How many square centimeters of chocolate does each friend receive?
Guidance:
+ Count the number of squares to find the length and width of each piece of chocolate.
+ Area of rectangular chocolate piece = Length x Width.
Answer:
- The yellow chocolate piece has a length of 6 cm and a width of 1 cm.
Area of yellow chocolate piece is 6 x 1 = 6 (cm2).
- The green chocolate piece has a length of 4 cm and a width of 3 cm.
Area of green chocolate piece is 4 x 3 = 12 (cm2).
- The white chocolate piece has a length of 4 cm and a width of 2 cm.
Area of white chocolate piece is 4 x 2 = 8 (cm2).
- The purple chocolate piece has a length of 5 cm and a width of 2 cm.
Area of purple chocolate piece is 5 x 2 = 10 (cm2).
Activity 2
1. Solve Exercise 1 Page 32 Math Workbook Grade 3
Problem: Number?
Guidance:
- The perimeter of a square is equal to the length of one side multiplied by 4.
- The area of a square is equal to the length of one side squared.
Answer:
2. Solve Exercise 2 Page 33 Math Workbook Grade 3
Problem: There is a square cake with a side length of 8 cm.
a) Calculate the area of that square cake.
b) If a square with a side length of 3 cm is cut from the corner of the cake, what is the area of the remaining piece of cake?
Guidance:
a) Calculate the area of the cake by multiplying the length of one side by itself.
b) Remaining area of the cake = area of the cake - area of the cut piece.
Answer:
a) The area of the square cake is:
8 x 8 = 64 (cm2)
b) The area of the cake with a side length of 3 cm is:
3 x 3 = 9 (cm2)
The remaining area of the cake is:
64 - 9 = 55 (cm2)
Answer: a) 64 cm2
b) 55 cm2
3. Solve Exercise 3 Page 33 Math Workbook Grade 3
Problem: Combine four cardboard pieces in the figure to form a square. Calculate the area of that square.
Guidance:
+ Combine four cardboard pieces into a square and then find the length of one side of that square.
+ Calculate the area of the square by multiplying the length of one side by itself.
Answer:
- The square formed by four pieces of cardboard in the figure is:
We observe that one side of the square has 4 squares, each with a side length of 2 cm.
So, the length of one side of the square is:
2 x 4 = 8 (cm)
The area of the square is:
8 x 8 = 64 (cm2)
Answer: 64 cm2
Practice
1. Solve Exercise 1 Page 33 Math Workbook Grade 3
Problem: Figure H consists of square ABCD and rectangle DMNP as shown in the figure.
a) Find the area of square ABCD and the area of rectangle DMNP.
b) Find the area of figure H.
Solution Guide:
a) The area of the rectangle is the product of its length and width (with the same unit of measurement).
The area of the square is obtained by multiplying the length of one side by itself.
b) The area of figure H = area of square ABCD + area of rectangle DMNP.
Answer:
a) The area of square ABCD is:
7 x 7 = 49 (cm2)
The area of rectangle DMNP is:
9 x 20 = 180 (cm2)
b) The area of figure H is:
49 + 180 = 229 (cm2)
Answer:
a) Square: 49 cm2
Rectangle: 180 cm2
b) Figure H: 229 cm2
- See more: Solutions for exercises on pages 35, 36, 37 of Mathematics Workbook Grade 3
2. Solution to Exercise 2 on Page 34 of Mathematics Workbook Grade 3
Problem: Three ants fence off plots of land for mushroom cultivation. The fire ant fences off a plot of red soil. The wind ant fences off a plot of green soil. The beetle ant fences off a plot of brown soil.
a) How many plots?
b) Which plot has the largest area?
Guidance:
a) Observe the picture, find the length of each plot of land, then calculate the perimeter and area.
b) Compare the areas of the plots of land and find the plot with the largest area.
Answer:
a) The perimeter of the red plot of land is 5 x 4 = 20 (cm)
The area of the red plot of land is 5 x 5 = 25 (cm2)
The perimeter of the green plot of land is (3 + 7) x 2 = 20 (cm)
The area of the green plot of land is 3 x 7 = 21 (cm2)
The perimeter of the brown plot of land is (6 + 4) x 2 = 20 (cm)
The area of the brown plot of land is 6 x 4 = 24 (cm2)
3. Solution to Exercise 3 on Page 34 of Mathematics Workbook Grade 3
Problem: Number?
The area of the square piece of paper is twice the area of the red paper piece.
The area of the square paper is .... cm2.
Guidance:
Step 1: Area of the red paper piece = Length x Width.
Step 2: Calculate the area of the square paper = area of the red paper piece x 2.
Answer:
The area of the red paper piece is:
6 x 3 = 18 (cm2)
The area of the square paper is:
18 x 2 = 36 (cm2)
Answer: 36 cm2
4. Solve Exercise 4 Page 34 Mathematics Grade 3 Textbook
Problem: Number?
There is a large piece of glass as shown in the adjacent diagram. Three rectangular pieces of glass are cut to fit into the window, each with a length of 80 cm and a width of 10 cm. The area of the remaining glass is ....cm2.
Guidance:
+ After cutting, we have:
The length of the remaining glass is the width of the original piece of glass.
The width of the remaining glass = the length of the original piece of glass - the length of the glass cut out.
+ Calculate the area of the remaining glass = length x width.
Answer:
The width of the remaining glass is:
85 - 80 = 5 (cm)
The area of the remaining glass is:
30 x 5 = 150 (cm2)
Answer: 150 cm2
Solving exercises on pages 30, 31, 32, 33, 34 of Mathematics Grade 3 Textbook Volume 2, the book Connecting Knowledge with Life is very useful for third-grade students. In addition, parents can refer to guide their children to do exercises well, with easy-to-understand methods.
