This handy Math in Focus Grade 4 Workbook Answer Key Cumulative Review Chapters 12 to 14 detailed solutions for the textbook questions.

## Math in Focus Grade 4 Cumulative Review Chapters 12 to 14 Answer Key

**Concepts and Skills**

**Estimate the area of each figure. (Lesson 12.1)**

Question 1.

Answer:

Area of a small square is 1 square centimeters.

By seeing the above figure we can estimate the area of the figure is nearly 6 square centimeters.

Question 2.

Answer:

Area of a small square is 1 square centimeters.

By seeing the above figure we can estimate the area of the figure is nearly 9 square centimeters.

**Solve. Show your work. (Lesson 12.2)**

Question 3.

The perimeter of a rectangle is 54 feet. Its length is 14 feet. Find its width.

Answer:

The perimeter of a rectangle is 54 feet.

Its length is 14 feet.

Width = ?

Perimeter of the rectangle = 2 (l + w)

54 feet = 2 (14 feet + w)

54 feet = 28 feet + 2w

26 feet = 2w

**13 feet = w**

The width of the rectangle = 13 feet.

Question 4.

The area of a rectangle is 65 square inches. Its width is 5 inches. Find its length.

Answer:

The area of a rectangle is 65 square inches.

Its width is 5 inches.

Length = ?

Area of the rectangle = l x w

65 square inches = l x 5 inches

**13 inches = l**

The length of the rectangle is 13 inches.

**Is the dotted line in each figure a line of symmetry? Write yes or no. (Lesson 13.1)**

Question 5.

Answer:

Yes, The dotted line in the above figure has a line of symmetry.

Question 6.

Answer:

No, The dotted line in the above figure doesn’t have a line of symmetry.

Question 7.

Answer:

Yes, The dotted line in the above figure has a line of symmetry.

**Decide whether each figure has rotational symmetry about the center shown. Write yes or no. (Lesson 13.2)**

Question 8.

Answer:

Yes, The above figure has rotational symmetry for the center shown in the figure.

Question 9.

Answer:

Yes, The above figure has rotational symmetry for the center shown in the figure.

**Each figure is half of a symmetric shape with the dotted line as its line of symmetry. Complete each symmetric shape. (Lesson 13.3)**

Question 10.

Answer:

The above figure is in symmetric figure.

Question 11.

Answer:

The above figure is in symmetric figure.

**Each figure is half of a symmetric shape. Complete each symmetric shape so it has rotational symmetry about the center shown. (Lesson 13.3)**

Question 12.

Answer:

Question 13.

Answer:

**Shade the correct squares so that the pattern of shaded squares has rotational symmetry about the given point. (Lesson 13.3)**

Question 14.

Answer:

Shaded the correct squares. The pattern of shaded squares has rotational symmetry for the given point.

Question 15.

Answer:

Shaded the correct squares. The pattern of shaded squares has rotational symmetry for the given point.

**Shade the repeated shape in each tessellation. (Lesson 14.1)**

Question 16.

Answer:

Shaded the repeated shape in the above tessellation with red color as we can observe in the above image.

Question 17.

Answer:

Shaded the repeated shape in the above tessellation with red color as we can observe in the above image.

**Add nine more repeated shapes to the tessellation. (Lesson 14.1)**

Question 18.

Answer:

**Add nine more repeated shapes to the tessellation. (Lesson 14.1)**

Question 19.

Answer:

Added nine more repeated shapes to the above given tessellation.

**Problem Solving**

**Solve. Show your work. (Lessons 12.3 and 12.4)**

Question 20.

This figure is made up of rectangles. Find its perimeter and area.

Answer:

Length = 12 cm

width = 9 cm

Perimeter of the rectangle = 2 (l + w)

= 2 (12 + 9)

= 2(21)

= **42 cm**

Perimeter of the rectangle is 42 cm.

Area of the rectangle = l x w

= 12 cm x 9 cm

= **108 square centimeters**

Area of the rectangle is 108 square centimeters.

**Solve. Show your work.**

Question 21.

A rectangle is divided into 3 identical squares as shown. The area of the rectangle is 1 47 square yards. Find the length and width.

Answer:

The area of the rectangle is 147 square yards.

A rectangle is divided into 3 identical squares as we can observe in the above image.

**147/3 = 49 square yards**

The area of each square is 49 square yards. The length and width of the square is 7 yards.

Length of the rectangle = 7 yards + 7 yards + 7 yards = **21 yards**

Width of the rectangle = **7 yards**

Question 22.

A photograph measuring 1 2 centimeters by 9 centimeters is mounted on a rectangular piece of cardboard measuring 20 centimeters by 1 5 centimeters as shown.

Find

a. the area of the border.

Answer:

b. the perimeter of the border.

Answer:

**Solve. (Lesson 13.1)**

Question 23.

In the figure below, do joining points A and B form a line of symmetry? Explain your answer.

Answer:

No, The joining points A and B doesn’t form a line of symmetry.

**Solve. (Lessons 13.1 and 13.2)**

Question 24.

Using the letters H, I, M, O, S, and U, form a three-letter symmetrical pattern that has

a. only line symmetry.

Answer:

HIO forms a three-letter symmetric pattern.

b. only rotational symmetry.

Answer:

IOS form a three-letter rotational symmetric pattern.

c. both line and rotational symmetry. The letters may be used more than once.

Answer:

HIO form a three-letter both line and rotational symmetric pattern.

**Draw. (Lesson 14.2)**

Question 25.

Use the given shape to make two different tessellations,

a. Tessellation 1

Answer:

b. Tessellation 2

Answer: