## Engage NY Eureka Math 3rd Grade Module 4 Lesson 12 Answer Key

### Eureka Math Grade 3 Module 4 Lesson 12 Pattern Sheet Answer Key

Multiply

Answer:

7 x 1 = 7, 7 x 2 = 14, 7 x 3 = 21, 7 x 4 = 28, 7 x 5 = 35, 7 x 6 = 42, 7 x 7 = 49, 7 x 8 = 56, 7 x 9 = 63, 7 x 10 = 70, 7 x 5 = 35, 7 x 6 = 42, 7 x 5 = 35, 7 x 7 = 49, 7 x 5 = 35, 7 x 8 = 56, 7 x 5 = 35, 7 x 9 = 63, 7 x 5 = 35, 7 x 10 = 70, 7 x 6 = 42, 7 x 5 = 35, 7 x 6 = 42, 7 x 7 = 49, 7 x 6 = 42, 7 x 8 = 56, 7 x 6 = 42, 7 x 9 = 63, 7 x 6 = 42, 7 x 7 = 49, 7 x 6 = 42, 7 x 7 = 49, 7 x 8 = 56, 7 x 7 = 49, 7 x 9 = 63, 7 x 7 = 49, 7 x 8 = 56, 7 x 6 = 42, 7 x 8 = 56, 7 x 7 = 49, 7 x 8 = 56, 7 x 9 = 63, 7 x 9 = 63, 7 x 6 = 52, 7 x 9 = 63, 7 x 7 = 49, 7 x 9 = 63, 7 x 8 = 56, 7 x 9 = 63, 7 x 8 = 56, 7 x 6 = 42, 7 x 9 = 63, 7 x 7 = 49, 7 x 9 = 63, 7 x 6 = 42, 7 x 8 = 56, 7 x 9 = 63, 7 x 7 = 49, 7 x 6 = 42, 7 x 8 = 56.

Explanation:

In the above-given question,

given that,

multiply with 7.

### Eureka Math Grade 3 Module 4 Lesson 12 Problem Set Answer Key

Question 1.

Each side on a sticky note measures 9 centimeters. What is the area of the sticky note?

Answer:

The area of sticky notes = 81 sq cm.

Explanation:

In the above-given question,

given that,

the area of the sticky notes = 81 sq cm.

area = l x b.

where l = length, and b = breadth.

area = 9 x 9.

area = 81.

so the area of the sticky notes = 81 sq cm.

Question 2.

Stacy tiles the rectangle below using her square pattern blocks.

a. Find the area of Stacy’s rectangle in square units. Then, draw and label a different rectangle with whole number side lengths that has the same area.

Answer:

The area of the stacky tiles = 12 sq units.

Explanation:

In the above-given question,

given that,

the area of the rectangle = l x b.

where l = length, b = breadth.

area = l x b.

area = 3 x 4.

area = 12 sq units.

so the area of the stacky tiles = 12 sq units.

b. Can you draw another rectangle with different whole number side lengths and have the same area? Explain how you know.

Answer:

The area of the rectangle = 12 sq units.

Explanation:

In the above-given question,

given that,

the area of the rectangle = l x b.

where l = length, b = breadth.

area = l x b.

area = 2 x 6.

area = 12 sq units.

so the area of the other rectangle = 12 sq units.

Question 3.

An artist paints a 4 foot × 16 foot mural on a wall. What is the total area of the mural? Use the break apart and distribute strategy.

Answer:

The area of the mural on a wall = 64 sq ft.

Explanation:

In the above-given question,

given that,

An artist paints a 4-foot x 16 foot mural on a wall.

area = 4 x 16.

area = 4 x ( 10 + 6 ).

area = ( 4 x 10 ) + 6.

area = 40 + 6.

area = 46.

so the area of the mural on a wall = 64 sq ft.

Question 4.

Alana tiles the 3 figures below. She says, “I’m making a pattern!”

a. Find the area of Alana’s 3 figures and explain her pattern.

Answer:

The area of the square 1 = 4 sq units.

the area of the square 2 = 9 sq units.

the area of the square 3 = 16 sq units.

Explanation:

In the above-given question,

given that,

Alana tiles the 3 figures.

the area of the square 1 = 4 sq units.

area = l x b.

where l = length, b = breadth.

area = 2 x 2.

area = 4.

the area of the square 2 = 9 sq units.

area = l x b.

area = 3 x 3.

area = 9.

the area of the square 3 = 16 sq units.

area = l x b.

area = 4 x 4.

area = 16.

b. Draw the next 2 figures in Alana’s pattern and find their areas.

Answer:

The area of square 1 = 25 sq units.

the area of square 2 = 36 sq units.

Explanation:

In the above-given question,

given that,

Alana tiles the 3 figures.

the area of the square 1 = 25 sq units.

area = l x b.

where l = length, b = breadth.

area = 5 x 5.

area = 25.

the area of the square 2 = 36 sq units.

area = l x b.

area = 6 x 6.

area = 36.

Question 5.

Jermaine glues 3 identical pieces of paper as shown below and makes a square. Find the unknown side length of 1 piece of paper. Then, find the total area of 2 pieces of paper.

Answer:

The unknown side length of 1 piece of paper = 3 cm.

Explanation:

In the above-given question,

given that,

Jermaine glues 3 identical pieces of paper as shown below and makes a square.

area of the rectangle = 3 x 3cm.

area = 3 x 3.

area = 9 cm.

so the unknown side length of 1 piece of paper = 3 cm.

### Eureka Math Grade 3 Module 4 Lesson 12 Exit Ticket Answer Key

Question 1.

A painting has an area of 63 square inches. One side length is 9 inches. What is the other side length?

Answer:

The other side length of the rectangle = 7 inches.

Explanation:

In the above-given question,

given that,

A painting has an area of 63 square inches.

one side length is 9 inches.

area of the rectangle is given.

63 = l x b.

l = 9 inches.

63 = 9 x b.

b = 63 / 9.

b = 7 inches.

so the other side length of the rectabgle = 7 inches.

Question 2.

Judy’s mini dollhouse has one floor and measures 4 inches by 16 inches. What is the total area of the dollhouse floor?

Answer:

The total area of the dollhouse floor = 64 sq inches.

Explanation:

In the above-given question,

given that,

Judy’s mini dollhoue has one floor and measures 4 inches by 16 inches.

area = l x b.

where l = length, and b = breadth.

area = 4 x 16.

area = 64 sq inches.

### Eureka Math Grade 3 Module 4 Lesson 12 Homework Answer Key

Question 1.

A square calendar has sides that are 9 inches long. What is the calendar’s area?

Answer:

The area of the square calendar = 81 sq inches.

Explanation:

In the above-given question,

given that,

A square calendar has sides that are 9 inches long.

area = l x b.

where l = length and b = breadth.

area = 9 x 9 = 81 sq inches.

so the area of the square calendar = 81 sq inches.

Question 2.

Each is 1 square unit. Sienna uses the same square units to draw a 6 × 2 rectangle and says that it has the same area as the rectangle below. Is she correct? Explain why or why not.

Answer:

Yes, she was correct.

Explanation:

In the above-given question,

given that,

Sienna uses the same square units to draw a 6 x 2 rectangle.

area of the given rectangle = 12 sq units.

area = 4 x 3.

area = 12 sq units.

area of Sienna’s rectangle = 12 sq units.

area = 6 x 2.

area = 12 sq units.

Question 3.

The surface of an office desk has an area of 15 square feet. Its length is 5 feet. How wide is the office desk?

Answer:

The width of the office desk = 3 feet.

Explanation:

In the above-given question,

given that,

The surface of an office desk has an area of 15 square feet.

Its length is 5 feet.

area = l x w.

15 = 5 x w.

w = 15 / 5.

w = 3 feet.

so the width of the office desk = 3 feet.

Question 4.

A rectangular garden has a total area of 48 square yards. Draw and label two possible rectangular gardens with different side lengths that have the same area.

Answer:

The side lengths of the rectangular garden 1 = 6 x 8 yards.

The side lengths of the rectangular garden 2 = 12 x 4 yards.

Explanation:

given that,

A rectangular garden 1 has a total area of 48 square yards.

area = l x b.

where l = length and b = breadth.

area = 6 x 8 = 48 sq yards.

so the area of the rectangular garden 1 = 48 sq yards.

A rectangular garden 2 has a total area of 48 square yards.

area = l x b.

where l = length and b = breadth.

area = 12 x 4 = 48 sq yards.

so the area of the rectangular garden 2 = 48 sq yards

Question 5.

Lila makes the pattern below. Find and explain her pattern. Then, draw the fifth figure in her pattern

Answer:

The area of the square 1 = 2 sq units.

the area of the square 2 = 4 sq units.

the area of the square 3 = 6 sq units.

Explanation:

In the above-given question,

given that,

Alana tiles the 3 figures.

the area of the square 1 = 2 sq units.

area = l x b.

where l = length, b = breadth.

area = 1 x 2.

area = 2.

the area of the square 2 = 4 sq units.

area = l x b.

area = 2 x 2.

area = 4.

the area of the square 3 = 6 sq units.

area = l x b.

area = 3 x 2.

area = 6.