Eureka Math Grade 3 Module 4 Lesson 10 Answer Key

Engage NY Eureka Math 3rd Grade Module 4 Lesson 10 Answer Key

Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key

Question 1.
Label the side lengths of the shaded and unshaded rectangles when needed. Then, find the total area of the large rectangle by adding the areas of the two smaller rectangles.
a.
Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 1
8 × 7 = (5 + 3) × 7
= (5 × 7) + (3 × 7)
= ___35___ + ___21___
= __56____
Area: ___56___ square units

Answer:
The area of the larger rectangle = 56 sq unit.
the area of the small rectangle A = 35 sq unit.
the area of the small rectangle B = 21 sq unit.

Explanation:
In the above-given question,
given that,
the area of the larger rectangle = 56 sq unit.
area = length x breadth.
area = l x b.
area = 8 x 7.
area = 56.
the area of the rectangle A = 35 sq unit.
area = length x breadth.
area = l x b.
area = 5 x 7.
area = 35.
the area of the rectangle B = 21 sq unit.
area = length x breadth.
area = l x b.
area = 3 x 7.
area = 21.

b.
Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 2
12 × 4 = (___10___ + 2) × 4
= (__10____ × 4) + (2 × 4)
= ___40___ + 8
= ___48___
Area: __48____ square units

Answer:
The area of the larger rectangle = 48 sq unit.
the area of the small rectangle A = 40 sq unit.
the area of the small rectangle B = 8 sq unit.

Explanation:
In the above-given question,
given that,
the area of the larger rectangle = 48 sq unit.
area = length x breadth.
area = l x b.
area = 12 x 4.
area = 48.
the area of the rectangle A = 40 sq unit.
area = length x breadth.
area = l x b.
area = 10 x 4.
area = 40.
the area of the rectangle B = 8 sq unit.
area = length x breadth.
area = l x b.
area = 2 x 4.
area = 8.

c.
Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 3
6 × 13 = 6 × (___10___ + 3)
= (6 ×___10___) + (6 × 3)
= __60____ + ___18___
= ___78___
Area: __78____ square units

Answer:
The area of the larger rectangle = 78 sq unit.
the area of the small rectangle A = 60 sq unit.
the area of the small rectangle B = 18 sq unit.

Explanation:
In the above-given question,
given that,
the area of the larger rectangle = 78 sq unit.
area = length x breadth.
area = l x b.
area = 6 x 13.
area = 78.
the area of the rectangle A = 60 sq unit.
area = length x breadth.
area = l x b.
area = 10 x 6.
area = 60.
the area of the rectangle B = 8 sq unit.
area = length x breadth.
area = l x b.
area = 6 x 3.
area = 18.

d.
Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 4
8 × 12 = 8 × (___10___ + ___2___)
= (8 × __10____) + (8 × ___2___)
= ___80___ + __16____
= __96____
Area: __96____ square units

Answer:
The area of the larger rectangle = 96 sq unit.
the area of the small rectangle A = 80 sq unit.
the area of the small rectangle B = 16 sq unit.

Explanation:
In the above-given question,
given that,
the area of the larger rectangle = 96 sq unit.
area = length x breadth.
area = l x b.
area = 8 x 12.
area = 96.
the area of the rectangle A = 80 sq unit.
area = length x breadth.
area = l x b.
area = 10 x 8.
area = 80.
the area of the rectangle B = 16 sq unit.
area = length x breadth.
area = l x b.
area = 8 x 2.

Question 2.
Vince imagines 1 more row of eight to find the total area of a 9 × 8 rectangle. Explain how this could help him solve 9 × 8.
Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 5

Answer:
The area of the rectangle = 72 sq cm.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = length and b = breadth.
area = 9 x 8.
area = 72 sq cm.
so the area of the rectangle = 72 sq cm.

Question 3.
Break the 15 × 5 rectangle into 2 rectangles by shading one smaller rectangle within it. Then, find the sum of the areas of the 2 smaller rectangles and show how it relates to the total area. Explain your thinking.
Eureka Math Grade 3 Module 4 Lesson 10 Problem Set Answer Key 6

Answer:
The area of the rectangle = 40 sq cm.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = length and b = breadth.
area = 5 x 8.
area = 40 sq cm.
so the area of the rectangle = 40 sq cm.

Answer:
The area of the rectangle = 35 sq cm.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = length and b = breadth.
area = 5 x 7.
area = 35 sq cm.
so the area of the rectangle = 35 sq cm.
Eureka-Math-Grade-3-Module-4-Lesson-10-Answer Key-1

Eureka Math Grade 3 Module 4 Lesson 10 Exit Ticket Answer Key

Label the side lengths of the shaded and unshaded rectangles. Then, find the total area of the large rectangle by adding the areas of the 2 smaller rectangles.

Question 1.
Eureka Math Grade 3 Module 4 Lesson 10 Exit Ticket Answer Key 7
8 × 7 = 8 × (___5___ + __2____)
= (8 ×___5___) + (8 ×___2___)
= __40____ + __16____
= ___56___
Area: __56____ square units

Answer:
The area of the larger rectangle = 56 sq unit.
the area of the small rectangle A = 40 sq unit.
the area of the small rectangle B = 16 sq unit.

Explanation:
In the above-given question,
given that,
the area of the larger rectangle = 56 sq unit.
area = length x breadth.
area = l x b.
area = 8 x 7.
area = 56.
the area of the rectangle A = 40 sq unit.
area = length x breadth.
area = l x b.
area = 8 x 5.
area = 40.
the area of the rectangle B = 16 sq unit.
area = length x breadth.
area = l x b.
area = 8 x 2.
area = 16.

Question 2.
Eureka Math Grade 3 Module 4 Lesson 10 Exit Ticket Answer Key 8
9 × 13 = 9 × (___10___+___3___)
= (___9___ × ___10___) + (__9____×___3___)
= __90____ + ___27___
= __117____
Area: ___117___ square units

Answer:
The area of the larger rectangle = 117 sq unit.
the area of the small rectangle A = 90 sq unit.
the area of the small rectangle B = 27 sq unit.

Explanation:
In the above-given question,
given that,
the area of the larger rectangle = 117 sq unit.
area = length x breadth.
area = l x b.
area = 9 x 13.
area = 117.
the area of the rectangle A = 90 sq unit.
area = length x breadth.
area = l x b.
area = 9 x 10.
area = 90.
the area of the rectangle B = 27 sq unit.
area = length x breadth.
area = l x b.
area = 9 x 3.
area = 27.

Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key

Question 1.
Label the side lengths of the shaded and unshaded rectangles. Then, find the total area of the large rectangle by adding the areas of the 2 smaller rectangles.
a.
Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 9
9 × 8 = (5 + 4) × 8
= (5 × 8) + (4 × 8)
= ___40___ + __32____
= __72____
Area: ___72___ square units

Answer:
The area of the larger rectangle = 72 sq unit.
the area of the small rectangle A = 40 sq unit.
the area of the small rectangle B = 32 sq unit.

Explanation:
In the above-given question,
given that,
the area of the larger rectangle = 78 sq unit.
area = length x breadth.
area = l x b.
area = 9 x 8.
area = 72.
the area of the rectangle A = 40 sq unit.
area = length x breadth.
area = l x b.
area = 5 x 8.
area = 40.
the area of the rectangle B = 32 sq unit.
area = length x breadth.
area = l x b.
area = 4 x 8.
area = 32.

b.
Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 10
12 × 5 = (__10____ + 2) × 5
= (___10___ × 5) + (2 × 5)
= ___50___ + 10
= ___60___
Area: __60____ square units

Answer:
The area of the larger rectangle = 60 sq unit.
the area of the small rectangle A = 50 sq unit.
the area of the small rectangle B = 10 sq unit.

Explanation:
In the above-given question,
given that,
the area of the larger rectangle = 60 sq unit.
area = length x breadth.
area = l x b.
area = 12 x 5.
area = 60.
the area of the rectangle A = 50 sq unit.
area = length x breadth.
area = l x b.
area = 10 x 5.
area = 50.
the area of the rectangle B = 10 sq unit.
area = length x breadth.
area = l x b.
area = 2 x 5.
area = 10.

c.
Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 11
7 × 13 = 7 × (___10___+ 3)
= (7 × ___10___) + (7 × 3)
= __70____ + __21____
= __91____
Area: __91____ square units

Answer:
The area of the larger rectangle = 91 sq unit.
the area of the small rectangle A = 70 sq unit.
the area of the small rectangle B = 21 sq unit.

Explanation:
In the above-given question,
given that,
the area of the larger rectangle = 91 sq unit.
area = length x breadth.
area = l x b.
area = 7 x 13.
area = 91.
the area of the rectangle A = 70 sq unit.
area = length x breadth.
area = l x b.
area = 7 x 10.
area = 70.
the area of the rectangle B = 21 sq unit.
area = length x breadth.
area = l x b.
area = 7 x 3.
area = 21.

d.
Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 12
9 × 12 = 9 × (___10___ + __2____)
= (9 × ___10___) + (9 × __2____)
= __90____ + ___18___
= __108____
Area: __108____ square units

Answer:
The area of the larger rectangle = 108 sq unit.
the area of the small rectangle A = 90 sq unit.
the area of the small rectangle B = 18 sq unit.

Explanation:
In the above-given question,
given that,
the area of the larger rectangle = 108 sq unit.
area = length x breadth.
area = l x b.
area = 9 x 12.
area = 108.
the area of the rectangle A = 90 sq unit.
area = length x breadth.
area = l x b.
area = 9 x 10.
area = 90.
the area of the rectangle B = 18 sq unit.
area = length x breadth.
area = l x b.
area = 9 x 2.
area = 18.

Question 2.
Finn imagines 1 more row of nine to find the total area of 9 × 9 rectangle. Explain how this could help him solve 9 × 9.
Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 13

Answer:
The area of the rectangle = 81 sq cm.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = length and b = breadth.
area = 9 x 9.
area = 81 sq cm.
so the area of the rectangle = 81 sq cm.

Question 3.
Shade an area to break the 16 × 4 rectangle into 2 smaller rectangles. Then, find the sum of the areas of the 2 smaller rectangles to find the total area. Explain your thinking.
Eureka Math Grade 3 Module 4 Lesson 10 Homework Answer Key 14

Answer:
The area of the rectangle = 40 sq cm.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = length and b = breadth.
area = 10 x 4.
area = 40 sq cm.
so the area of the rectangle = 40 sq cm.

Answer:
The area of the rectangle = 24 sq cm.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = length and b = breadth.
area = 6 x 4.
area = 24 sq cm.
so the area of the rectangle = 24 sq cm.
Eureka-Math-Grade-3-Module-4-Lesson-10-Answer Key-2

Eureka Math Grade 3 Module 4 Lesson 10 Template Answer Key

Eureka Math Grade 3 Module 4 Lesson 10 Template Answer Key 15
____24__sq__cm______
tiling
Answer:
The area of the rectangle = 16 sq cm.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = length and b = breadth.
area = 4 x 4.
area = 16 sq cm.
so the area of the rectangle = 16 sq cm.

Answer:
The area of the rectangle = 8 sq cm.

Explanation:
In the above-given question,
given that,
the area of the rectangle = l x b.
where l = length and b = breadth.
area = 4 x 2.
area = 8 sq cm.
so the area of the rectangle = 8 sq cm.
Eureka-Math-Grade-3-Module-4-Lesson-10-Answer Key-3

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