## Engage NY Eureka Math 3rd Grade Module 7 Lesson 13 Answer Key

### Eureka Math Grade 3 Module 7 Lesson 13 Pattern Sheet Answer Key

Multiply.

multiply by 8 (1–5)

Answer:

Explanation:

8 × 1 = 8

8 × 2 = 16

8 × 3 = 24

8 × 4 = 32

8 × 5 = 40.

### Eureka Math Grade 3 Module 7 Lesson 13 Problem Set Answer Key

Question 1.

Find the perimeter of the following shapes.

a.

P = 3 in + 8 in + 3 in + 8 in

= _________ in

Answer:

Perimeter of the ABCD Rectangle = Side + Side + Side + Side

= AB + BC +CD + DA

= 8in + 3in + 8in + 3in

= 22in.

Explanation:

Length of the AB side of the Rectangle = 8in

Length of the BC side of the Rectangle = 3in

Length of the CA side of the Rectangle = 8in

Length of the DA side of the Rectangle = 3in

Perimeter of the ABCD Rectangle = Side + Side + Side + Side

= AB + BC +CD + DA

= 8in + 3in + 8in + 3in

= 11in + 8in + 3in

= 19in + 3in

= 22in.

b.

P = ____ cm + ____ cm + ____ cm + ____ cm

= _________ cm

Answer:

Perimeter of the ABCD Square = Side + Side + Side + Side

= AB + BC +CD + DA

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

= 16cm.

Explanation:

Length of the AB side of the ABCD Square = 4cm

Length of the BC side of the ABCD Square = 4cm

Length of the CD side of the ABCD Square = 4cm

Length of the DA side of the ABCD Square = 4cm

Perimeter of the ABCD Square = Side + Side + Side + Side

= AB + BC +CD + DA

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

= 8cm + 4cm + 4cm

= 12cm + 4cm

= 16cm.

c.

P = ____ cm + ____ cm + ____ cm

= _________ cm

Answer:

Perimeter of the ABC Triangle = Side + Side + Side

= AB + BC + CA

= 9cm + 11cm + 6cm

= 26cm.

Explanation:

Length of the AB side of the ABC Triangle = 9cm

Length of the BC side of the ABC Triangle = 11cm

Length of the CA side of the ABC Triangle = 6cm

Perimeter of the ABC Triangle = Side + Side + Side

= AB + BC + CA

= 9cm + 11cm + 6cm

= 20cm + 6cm

= 26cm.

d.

P = ____ m + ____ m + ____ m + ____ m

= _________ m

Answer:

Perimeter of the ABCD Trapezium = Side + Side + Side + Side

= AB + BC + CD + DA

= 15m + 9m + 5m + 7m

= 36m.

Explanation:

Length of the AB side of the ABCD Trapezium = 15cm

Length of the BC side of the ABCD Trapezium = 9cm

Length of the CD side of the ABCD Trapezium = 5cm

Length of the DA side of the ABCD Trapezium = 7cm

Perimeter of the ABCD Trapezium = Side + Side + Side + Side

= AB + BC + CD + DA

= 15m + 9m + 5m + 7m

= 24m + 5m + 7m

= 29m + 7m

= 36m.

e.

P = ____ in + ____ in + ____ in + ____ in + ____ in

= _________ in

Answer:

Perimeter of the ABCDE Pentagon = Side + Side + Side + Side + Side

= AB + BC + CD + DE + EA

= 9in + 2in + 2in + 9in + 3in

= 25in.

Explanation:

Length of the AB side of the ABCDE Pentagon = 9in

Length of the BC side of the ABCDE Pentagon = 2in

Length of the CD side of the ABCDE Pentagon = 2in

Length of the DE side of the ABCDE Pentagon = 9in

Length of the EA side of the ABCDE Pentagon = 3in

Perimeter of the ABCDE Pentagon = Side + Side + Side + Side + Side

= AB + BC + CD + DE + EA

= 9in + 2in + 2in + 9in + 3in

= 11in + 2in + 9in + 3in

= 13in + 9in + 3in

= 22in + 3in

= 25in.

Question 2.

Alan’s rectangular swimming pool is 10 meters long and 16 meters wide. What is the perimeter?

Answer:

Perimeter of the ABCD Rectangle = Side + Side + Side + Side

= AB + BC + CD + DA

= 16m + 10m + 16m + 10m

= 52m.

Explanation:

Length of the AB side of the ABCD Rectangle = 16m

Length of the BC side of the ABCD Rectangle = 10m

Length of the CA side of the ABCD Rectangle = 16m

Length of the DA side of the ABCD Rectangle = 10m

Perimeter of the ABCD Rectangle = Side + Side + Side + Side

= AB + BC + CD + DA

= 16m + 10m + 16m + 10m

= 26m + 16m + 10m

= 42m + 10m

= 52m.

Question 3.

Lila measures each side of the shape below.

a. What is the perimeter of the shape?

b. Lila says the shape is a pentagon. Is she correct? Explain why or why not.

Answer:

a. The perimeter of the ABCDE shape = Side + Side + Side + Side + Side

= AB + BC + CD + DE + EA

= 9in + 6in + 3in + 2in + 4in

= 24in.

b. Lila is correct because Pentagon is a figure which has five sides in it and her figure is a five sided shape.

Explanation:

a. The perimeter of the ABCDE shape = ???

Length of the AB side of the ABCDE shape = 9in

Length of the BC side of the ABCDE shape = 6in

Length of the CD side of the ABCDE shape = 3in

Length of the DE side of the ABCDE shape = 2in

Length of the EA side of the ABCDE shape = 4in

The perimeter of the ABCDE shape = Side + Side + Side + Side + Side

= AB + BC + CD + DE + EA

= 9in + 6in + 3in + 2in + 4in

= 15in + 3in + 2in + 4in

= 18in + 2in + 4in

= 20in + 4in

= 24in.

b. Pentagon is a figure which has five side in it. Lila is correct.

### Eureka Math Grade 3 Module 7 Lesson 13 Exit Ticket Answer Key

Which shape below has the greater perimeter? Explain your answer.

Answer:

Perimeter of shape A = 14in

Perimeter of shape B = 15in

Perimeter of shape B is greater than the Perimeter of shape A because the measurement value of Perimeter of shape B is more than the the measurement value of Perimeter of shape A.

Explanation:

Perimeter of shape A = Side + Side + Side + Side + Side + Side + Side

= AB + BC + CD + DE + EF + FG + GA

= 2in + 2in + 2in + 2in + 2in + 2in + 2in

= 4in + 2in + 2in + 2in + 2in + 2in

= 6in + 2in + 2in + 2in + 2in

= 8in + 2in + 2in + 2in

= 10in + 2in + 2in

= 12in + 2in

= 14in.

Perimeter of shape B = Side + Side + Side + Side + Side

= HI + IJ + JK + KL +LH

= 4in + 2in + 2in + 4in + 3in

= 6in + 2in + 4in + 3in

= 8in + 4in + 3in

= 12in + 3in

= 15in.

### Eureka Math Grade 3 Module 7 Lesson 13 Homework Answer Key

Question 1.

Find the perimeters of the shapes below. Include the units in your equations. Match the letter inside each shape to its perimeter to solve the riddle. The first one has been done for you.

What kind of meals do math teachers eat?

Answer:

Perimeter of q Triangle shape = 21in.

Perimeter of r Pentagon shape = 36ft.

Perimeter of s Parallelogram shape = 24cm.

Perimeter of a Trapezium shape = 28yd.

Perimeter of m rhombus shape = 16in.

Perimeter of e Rectangular shape = 26cm.

Perimeter of u quadrilateral shape = 20m.

Perimeter of l Pentagon shape = 15m.

Square meals kind of meals math teachers eats.

Explanation:

Perimeter of q Triangle shape = Side + Side + Side

= 7in + 7in + 7in

= 14in + 7in

= 21in.

Perimeter of r Pentagon shape = Side + Side + Side + Side + Side

= 6ft + 9ft + 6ft + 6ft + 9ft

= 15ft + 6ft + 6ft + 9ft

= 21ft + 6ft + 9ft

= 27ft + 9ft

= 36ft.

Perimeter of s Parallelogram shape = Side + Side + Side + Side

= 7cm + 5cm + 7cm + 5cm

= 12cm + 7cm + 5cm

= 19cm + 5cm

= 24cm.

Perimeter of a Trapezium shape = Side + Side + Side + Side

= 9yd + 7yd + 5yd + 7yd

= 16yd + 5yd + 7yd

= 21yd + 7yd

= 28yd.

Perimeter of m rhombus shape = Side + Side + Side + Side

= 4in + 4in + 4in + 4in

= 8in + 4in + 4in

= 12in + 4in

= 16in.

Perimeter of e Rectangular shape = Side + Side + Side + Side

= 8cm + 5cm + 8cm + 5cm

= 13cm + 8cm + 5cm

= 21cm + 5cm

= 26cm.

Perimeter of u quadrilateral shape = Side + Side + Side + Side

= 6m + 4m + 7m + 3m

= 10m + 7m + 3m

= 17m + 3m

= 20m.

Perimeter of l Pentagon shape= Side + Side + Side + Side + Side

= 4m + 2m + 2m + 4m + 3m

= 6m + 2m + 4m + 3m

= 8m + 4m + 3m

= 12m + 3m

= 15m.

Question 2.

Alicia’s rectangular garden is 33 feet long and 47 feet wide. What is the perimeter of Alicia’s garden?

Answer:

Perimeter of Alicia’s rectangular garden = 160ft.

Explanation:

Length of the ABCD Alicia’s rectangular garden = 33ft

Width of the ABCD Alicia’s rectangular garden = 47ft

Perimeter of ABCD Alicia’s rectangular garden = 2 (Length + Width)

= 2 ( 33ft + 47ft )

= 2 × 80ft

= 160ft.

Question 3.

Jaque’s measured the side lengths of the shape below.

a. Find the perimeter of Jaques’s shape.

b. Jaques says his shape is an octagon. Is he right? Why or why not?

Answer:

a. Perimeter of Jaques’s shape = Side + Side + Side + Side + Side + Side + Side + Side

= AB + BC + CD + DE + EF + FG + GH +HA

= 7 in + 3 in + 4 in+ 5 in + 4 in + 3 in + 2 in +5 in

= 33in.

Explanation:

a.

Perimeter of Jaques’s shape = Side + Side + Side + Side + Side + Side + Side + Side

= AB + BC + CD + DE + EF + FG + GH +HA

= 7 in + 3 in + 4 in+ 5 in + 4 in + 3 in + 2 in +5 in

= 10 in + 4 in + 5 in + 4 in + 3 in + 2 in +5 in

= 14 in + 5 in + 4 in + 3 in + 2 in +5 in

= 19 in + 4 in + 3 in + 2 in +5 in

= 23 in + 3 in + 2 in +5 in

= 26 in + 2 in+5 in

= 28 in + 5 in

= 33 in.

b. Yes, he is correct. Jaques says his shape is an octagon because in geometry , an octagon is an eight-sided polygon or 8-gon. His shape has eight sides.

Explanation:

His shape has eight sides. In geometry , an octagon is an eight-sided polygon or 8-gon.