## Engage NY Eureka Math 3rd Grade Module 7 Lesson 16 Answer Key

### Eureka Math Grade 3 Module 7 Lesson 16 Pattern Sheet Answer Key

Multiply.

multiply by 9 (6–10)

Explanation:
9 × 5 = 45
9 × 6 = 54
9 × 7 = 63
9 × 8 = 72
9 × 9 = 81
9 × 10 = 90.

### Eureka Math Grade 3 Module 7 Lesson 16 Problem Set Answer Key

Question 1.
Find the perimeter of 10 circular objects to the nearest quarter inch using string. Record the name and perimeter of each object in the chart below.

 Object Perimeter (to the nearest quarter inch) Cap of my jam jar 13$$\frac{1}{4}$$ inches Bangle 17$$\frac{1}{4}$$ inches Plate of my Dog 34$$\frac{1}{4}$$ inches Plastic glass Mouth 21$$\frac{3}{4}$$ inches Lid of my Lunch Box 29$$\frac{3}{2}$$ inches Ear ring 2$$\frac{2}{4}$$ inches Water Bottle cap 7$$\frac{2}{4}$$ inches Pencil Mouth 1$$\frac{2}{4}$$ inches Pen Cap 3$$\frac{1}{4}$$ inches Perfume Bottom surface 12$$\frac{3}{4}$$ inches

a. Explain the steps you used to find the perimeter of the circular objects in the chart above.

Step 1: Took a string and wrapped around the object.
Step 2: Marked the string met.
Step 3: Measured the length of the string.

Explanation:
First I rolled the String around the object. Later, I marked the string met. Afterwards, I took a ruler to measure the length of the string.

b. Could the same process be used to find the perimeter of the shape below? Why or why not?

Answer: Yes, the same steps would be followed to find the perimeter of the given shape because I use the string to find the perimeter.

Explanation:
The same steps would be followed to find the perimeter of the given shape because I use the string to find the perimeter. First I rolled the String around the object. Later, I marked the string met. Afterwards, I took a ruler to measure the length of the string.

Question 2.

No, I cant find the perimeter of this given shape because it got curve line in it as which a ruler cant measure it.

Explanation:
A tool used to rule straight lines and measure distances is called as ruler.
No, I cant find the perimeter of this given shape because it got curve line in it as a ruler measures only straight lines.

Question 3.
Molly says the perimeter of the shape below is 6 $$\frac{1}{4}$$ inches. Use your string to check her work. Do you agree with her? Why or why not?

No, she is not correct has I have used my string and found the perimeter of the shape as 5 $$\frac{3}{4}$$ inches.

Explanation:
Molly says the perimeter of the shape below is 6 $$\frac{1}{4}$$ inches.
No, she is not correct has I have used my string and found the perimeter of the shape as 5 $$\frac{3}{4}$$ inches.

Question 4.
Is the process you used to find the perimeter of a circular object an efficient method to find the perimeter of a rectangle? Why or why not?
No, I don’t think this process to find the perimeter of a circular object an efficient method to find the perimeter of a rectangle, because I can just use a ruler to measure length of the straight lines.

Explanation:
No, I don’t think this process to find the perimeter of a circular object an efficient method to find the perimeter of a rectangle. A ruler is used to find the lengths of the straight lines which help in finding the perimeter of the shape.

### Eureka Math Grade 3 Module 7 Lesson 16 Exit Ticket Answer Key

Use your string to the find the perimeter of the shape below to the nearest quarter inch.

The perimeter of this circular shape is 26 3/4 inches.

Explanation:
I used my string to measure this circular shape. The perimeter of this circular shape is 26 3/4 inches.

### Eureka Math Grade 3 Module 7 Lesson 16 Homework Answer Key

Question 1.
a. Find the perimeter of 5 circular objects from home to the nearest quarter inch using string. Record the name and perimeter of each object in the chart below.

 Object Perimeter (to the nearest quarter inch) Example:  Peanut Butter Jar Cap 9$$\frac{1}{2}$$ inches Cap of my jam jar 13$$\frac{1}{4}$$ inches Plate of my Dog 34$$\frac{1}{4}$$ inches Lid of my Lunch Box 29$$\frac{3}{2}$$ inches Water Bottle cap 7$$\frac{2}{4}$$ inches Pen Cap 3$$\frac{1}{4}$$ inches

b. Explain the steps you used to find the perimeter of the circular objects in the chart above.
Well, as previously discussed I have used a string to measure the perimeter of the circular shapes. I wrapped string around the circular bodies and  noted the values where they met. Later I have used a ruler to measured the values.

Explanation:
Used string to measure the perimeter of the circular shapes. I wrapped string around the circular bodies and  noted the values where they met. Later I have used a ruler to measured the values.

Question 2.
Use your string and ruler to find the perimeter of the two shapes below to the nearest quarter inch.

a. Which shape has a greater perimeter?
b. Find the difference between the two perimeters.

a. The perimeter of the given shape B is greater by 3inches than The perimeter of the given shape A.
b. The perimeter of the shape B given using string – The perimeter of the shape A given using string
= 17 1/4 inches – 14 1/4 inches
= 3 inches

Explanation:
a. The perimeter of the given shape A using string = 14 1/4 inches.
The perimeter of the given shape B using string = 17 1/4 inches.

b. Difference:
The perimeter of the shape  B given using string – The perimeter of the shape  A given using string
= 17 1/4 inches – 14 1/4 inches
= 3 inches.

Question 3.
Describe the steps you took to find the perimeter of the objects in Problem 2. Would you use this method to find the perimeter of a square? Explain why or why not.