Guide for 4th-grade Math on pages 103-104 of VBT Workbook, Volume 2, Geometry Review, exercise 167. It provides solutions and answers for exercises 1, 2, 3, and 4 based on the study content. Students, refer to this guide to apply geometric knowledge effectively and master problem-solving methods.
4th-grade Math on pages 103-104 of VBT Workbook, Volume 2, Geometry Review, exercise 167
1. Solve exercise 1 - Math workbook for 4th grade Volume 2 page 103
Problem Statement:
Continue writing in the blank space:
A right angle has its vertex at ............
An acute angle has its vertex at ............
The vertex of an obtuse angle is ............
Solution Method
Observe the diagram to find right angles, acute angles, and obtuse angles, then identify the corresponding vertices.
Answer Key
Vertex C forms a right angle.
Vertices A and B form acute angles.
Vertex D forms an obtuse angle.
2. Solve exercise 2 - Math workbook for 4th grade Volume 2 page 104
a) Fill in the blank:
b) Continue writing in the space provided:
Figures with the same perimeter are .................
2. Write into the blank: Figures with the same perimeter are .................
Figures with the same area are ..............
Solution Method
Apply the following formulas:
- Rectangle perimeter = (length + width) x 2.
The area of a rectangle is found by multiplying its length and width.
The perimeter of a square is calculated as four times the length of its side.
The area of a square is determined by squaring the length of its side.
Answer Key
a) The perimeter of shape (1) is:
(6 + 4) x 2 = 20 (cm)
The area of shape (1) is:
6 x 4 = 24 (cm2)
The perimeter of shape (2) is:
5 x 4 = 20 (cm)
The area of shape (2) is:
5 x 5 = 25 (cm2)
The perimeter of shape (3) is:
(8 + 3) x 2 = 22 (cm)
The area of shape (3) is:
8 x 3 = 24 (cm2)
So, we have the result table as follows:
b) Continue writing in the space provided:
Figures with the same perimeter are shape (1) and shape (2)
Figures with the same area are shape (1) and shape (3)
3. Solve problem 3 - Math workbook for 4th grade Volume 2 page 104
Problem Statement:
a) Draw a rectangle with a width of 3cm and a length of 5cm
b) Draw an additional straight line to divide the above rectangle into a square and a rectangle.
Method of Solution
Draw a rectangle following these steps:
Draw line segment DC = 5cm.
Draw a line perpendicular to DC at D, and on that line, take line segment DA = 3cm.
Draw a line perpendicular to DC at C. On that line, take line segment CB = 3cm.
Connect A and B to form the rectangle ABCD with a length of 5cm and a width of 3cm.
Answer Key
a) The rectangle has a width of 3cm and a length of 5cm.
b) We can add an additional line to divide the above rectangle into a square and a rectangle in one of the following two ways:
4. Solve exercise 4 - Math workbook for 4th grade Volume 2 page 103
Problem Statement:
A rectangular stadium has a length of 180m and a width of 70m. Calculate the perimeter of the stadium?
Apply the following method:
Use the formula:
Perimeter of the rectangle = (length + width) x 2.
Answer Key
Perimeter of the stadium is:
(180 + 70) x 2 = 500 (m)
Answer: 500 m
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