## Engage NY Eureka Math 3rd Grade Module 7 Lesson 14 Answer Key

### Eureka Math Grade 3 Module 7 Lesson 14 Pattern Sheet Answer Key

Multiply.

multiply by 8 (6–10)

Answer:

Explanation:

8 × 5 = 40

8 × 6 = 48

8 × 7 = 56

8 × 8 = 64

8 × 9 = 72

8 × 10 = 80.

### Eureka Math Grade 3 Module 7 Lesson 14 Problem Set Answer Key

Question 1.

Label the unknown side lengths of the regular shapes below. Then, find the perimeter of each shape.

a.

Perimeter = _______ in

Answer:

Length of the side of the ABCDEFG Octogen = 64in.

Explanation:

Length of the side of the ABCDEFG Octogen = 8in

Perimeter of the ABCDEFG Octogen = 8 × side

= 8 × 8in

= 64in.

b.

Perimeter = _______ ft

Answer:

Perimeter of the ABC Triangle = 21ft.

Explanation:

Length of the side of the ABC Triangle = 7ft

Perimeter of the ABC Triangle = 3 × Side

= 3 × 7ft

= 21ft.

c.

Perimeter = _______ m

Answer:

Perimeter of the ABCD Square = 36m.

Explanation:

Length of the Side of the ABCD Square = 9m

Perimeter of the ABCD Square = 4 × Side

= 4 × 9m

= 36m.

d.

Perimeter = _______ in

Answer:

Perimeter of the ABCDE Pentagon = 36in.

Explanation:

Length of the side of the ABCDE Pentagon = 6in

Perimeter of the ABCDE Pentagon = 6 × Side

= 6 × 6in

= 36in.

Question 2.

Label the unknown side lengths of the rectangle below. Then, find the perimeter of the rectangle.

Perimeter = _______ cm

Answer:

Perimeter of the side of the ABCD Rectangle = 18cm.

Explanation:

Length of the side of the ABCD Rectangle = 7cm

Width of the side of the ABCD Rectangle = 2cm

Perimeter of the side of the ABCD Rectangle = 2 (Length + Width)

= 2 ( 7cm + 2cm )

= 2 × 9cm

= 18cm.

Question 3.

David draws a regular octagon and labels a side length as shown below. Find the perimeter of David’s octagon.

Answer:

Perimeter of the ABCDEFGH Octogen = 36cm.

Explanation:

Length of the side of the ABCDEFGH Octogen = 6cm

Perimeter of the ABCDEFGH Octogen = 6 × Side

= 6 × 6cm

= 36cm.

Question 4.

Paige paints an 8-inch by 9-inch picture for her mom’s birthday. What is the total length of wood that Paige needs to make a frame for the picture?

Answer:

Perimeter of the Paige’s paints = 34inch.

Explanation:

Length of the Paige’s paints = 9inch

Width of the Paige’s paints = 8inch

Perimeter of the Paige’s paints = 2 (Length + Width )

= 2 (9inch + 8inch)

= 2 × 17inch

= 34inch.

Question 5.

Mr. Spooner draws a regular hexagon on the board. One of the sides measures 4 centimeters. Giles and Xander find the perimeter. Their work is shown below. Whose work is correct? Explain your answer.

Giles’s Work

Perimeter = 4 cm + 4 cm + 4 cm + 4 cm + 4 cm + 4 cm

Perimeter = 24 cm

Xander’s Work

Perimeter = 6 × 4 cm

Perimeter = 24 cm

Answer:

Perimeter of the Hexagon = 24 centimeters.

Both Giles and Xander’s work is correct because they got the calculation value correct even though the methodology was different of each.

Explanation:

Length of the side of the Hexagon = 4 centimeters

Perimeter of the Hexagon = 6 × Side

= 6 × 4 centimeters

= 24 centimeters.

Both are correct.

### Eureka Math Grade 3 Module 7 Lesson 14 Exit Ticket Answer Key

Travis traces a regular pentagon on his paper. Each side measures 7 centimeters. He also traces a regular hexagon on his paper. Each side of the hexagon measures 5 centimeters. Which shape has a greater perimeter? Show your work.

Answer:

Perimeter of the Pentagon is greater than the Perimeter of the regular hexagon because the measurement value of the Pentagon is more than the measurement value of the regular hexagon.

Explanation:

Length of the side of the Pentagon = 7 centimeters

Perimeter of the Pentagon = 5 × Side

= 5 × 7 centimeters

= 35 centimeters.

Length of the side of the regular hexagon = 5 centimeters

Perimeter of the regular hexagon = 6 × Side

= 6 × 5 centimeters

= 30 centimeters.

### Eureka Math Grade 3 Module 7 Lesson 14 Homework Answer Key

Question 1.

Label the unknown side lengths of the regular shapes below. Then, find the perimeter of each shape.

a.

Perimeter = _______ in

Answer:

Perimeter of the ABC Triangle = 16in.

Explanation:

Length of the Side of the ABC Triangle = 4in

Perimeter of the ABC Triangle = Side + Side + Side

= AB + BC + CA

= 4in + 4in + 4in

= 12in + 4in

=16in.

b.

Perimeter = _______ cm

Answer:

Perimeter of the square = 32cm.

Explanation:

Length of the Side of the square = 8cm

Perimeter of the square = 4 × Side

= 4 × 8cm

= 32cm.

c.

Perimeter = _______ m

Answer:

Perimeter of the Octagon = 72m.

Explanation:

Length of the side of the Octagon = 9m

Perimeter of the Octagon = 8 × Side

= 8 × 9m

= 72m.

d.

Perimeter = _______ in

Answer:

Perimeter of the Hexagon = 36in.

Explanation:

Length of the side of the Hexagon = 6in

Perimeter of the Hexagon = 6 × Side

= 6 × 6in

= 36in.

Question 2.

Label the unknown side lengths of the rectangle below. Then, find the perimeter of the rectangle.

Perimeter = _______ cm

Answer:

Perimeter of the rectangle = 2 ( Length + Width )

= 2 ( 9cm + 4cm )

= 2 × 13cm

= 26cm.

Explanation:

Length of the rectangle = 9cm

Width of the rectangle = 4cm

Perimeter of the rectangle = 2 ( Length + Width )

= 2 ( 9cm + 4cm )

= 2 × 13cm

= 26cm.

Question 3.

Roxanne draws a regular pentagon and labels a side length as shown below. Find the perimeter of Roxanne’s pentagon.

Answer:

Perimeter of the Roxanne’s pentagon = 5 × Side

= 5 × 7cm

= 35cm.

Explanation:

Length of the side of the Roxanne’s pentagon = 7cm

Perimeter of the Roxanne’s pentagon = 5 × Side

= 5 × 7cm

= 35cm.

Question 4.

Each side of a square field measures 24 meters. What is the perimeter of the field?

Answer:

Perimeter of the Square field = 4 × Side

= 4 × 24meters

= 96meters.

Explanation:

Length of the side of the Square field = 24 meters

Perimeter of the Square field = 4 × Side

= 4 × 24meters

= 96meters.

Question 5.

What is the perimeter of a rectangular sheet of paper that measures 8 inches by 11 inches?

Answer:

Perimeter of the rectangular sheet of paper = 2 ( Length + Width )

= 2 (11inches + 8inches)

= 38inches.

Explanation:

Length of the rectangular sheet of paper = 11inches

Width of the rectangular sheet of paper = 8inches

Perimeter of the rectangular sheet of paper = 2 ( Length + Width )

= 2 (11inches + 8inches)

= 2 × 19inches

= 38inches.