C H A PTER 19 Area and Perimeter · Name: Date: 76 Chapter 19 Area and Perimeter © Marshall...

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Enrichment 3B

CHAPTER

19 Area and Perimeter

Thinking SkillsPROBLEM SOLVING

1. Stuart wants to form a 10-centimeter by 4-centimeter rectangle by combining the two shapes shown below. How many more 1-centimeter squares does Stuart need to add to these shapes to form his rectangle?

14(M)MIF2015CC_EnG3B_Ch19.indd 7514(M)MIF2015CC_EnG3B_Ch19.indd 75 4/22/13 10:40 AM4/22/13 10:40 AM

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Chapter 19 Area and Perimeter76

2. A picture is mounted onto a piece of cardboard such that ithas a 5-centimeter border around it. The picture measures 10 centimeters by 8 centimeters. What will the perimeter of thecardboard be if the border is reduced by 3 centimeters on all sides?

5 cm5 cm

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77Enrichment 3B

3. Amy wants to cut 2-centimeter squares from a piece of paperthat measures 8 centimeters by 6 centimeters. How many squares can she cut from the paper?

2 cm8 cm

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4. A square is made up of 36 1-foot squares put together as shown. The rectangle has the same perimeter as the square. What is the length of the rectangle?

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79Enrichment 3B

ExplorationPROBLEM SOLVING

5. A rectangle is divided into several parts. A is twice as large as B. B is twice as large as C. C is twice as large as D and D has the same area as E. The area of E is 6 square centimeters. What is the area of the whole rectangle?

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6. Tyrell makes a pattern using 1-inch squares as shown. What is the area of the 5th pattern?

1st 2nd 3rd

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81Enrichment 3B

ExplorationPROBLEM SOLVING

7. Use these squares and half-squares to make three fi gures. Each fi gure should use all of the squares and half-squares. Then fi ll in the table.

Figure A Figure B Figure C

Figure Number of Squares

Number of Half-Squares Area Perimeter

What can you say about the areas and perimeters?

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Figure A Figure B Figure C Figure D

a. How many 1-centimeter squares are in each fi gure?

b. How many squares will be in Figure D?

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83Enrichment 3B

c. Do you see a pattern?

d. Using this pattern, fi nd the number of squares in the 10th fi gure.

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Journal Writing

9. The length of a rectangle is 15 centimeters and the perimeter is 54 centimeters.

Explain how to fi nd the width of the rectangle.

Step 1

Step 2

Step 3

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10. The fi gure is made up of a square and a rectangle.

Explain how to fi nd the perimeter of the fi gure.

Step 1

Step 2

Step 3

C H A PTER 19 Area and Perimeter · Name: Date: 76 Chapter 19 Area and Perimeter © Marshall...

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