Area and Perimeter
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Name: Date: r te p a h C Area and Perimeter Practice 1 Area Draw and color two different figures. Use 4 squares ( ) and 2 half-squares ( ) for each figure. 1. © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 211 Lesson 19.1 Area The figures are made of square and half-square tiles. Write the area of each figure in the table. A B C D E F 2. Figure Area Each square ( ) is 1 square unit. Each A square units half-square ( ) is 1 square unit. Limited. Private (Singapore) International © Marshall Cavendish B square units 2 C square units D square units E square units F square units 3. Figure and Figure have the same area. 4. Figure has the largest area. 212 Chapter 19 Area and Perimeter Name: Date: Draw two different fi gures with the same area on the grid. 5. 1 unit 1 unit Add squares ( ) or half-squares ( ) to each fi gure to make its area 7 square units. 6. © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 213 Lesson 19.1 Area Complete. Cut out the triangle tiles. Use all the tiles to make three figures with different areas. Glue them in the spaces below. 7. ABC 8. Which figure has the smallest area? Figure 9. Which figure has the largest area? Figure 10. Order the figures from smallest to largest area. Limited. Private (Singapore) International © Marshall Cavendish , , smallest 214 Chapter 19 Area and Perimeter Name: Date: Practice 2 Square Units (cm2 and in.2) Find the area of each shaded figure in square centimeters (cm2). Then complete the table. 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm A B C 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm E D F © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 1. Figure Area The area of each square is A cm2 1 square centimeter. B cm2 C cm2 D cm2 E cm2 F cm2 2 215 Lesson 19.2 Square Units (cm2 and in. ) Draw two different figures with the same area on the grids. 1 cm 1 cm 1 cm 1 cm 2. What is the area of the figures? 3. The figures are made of square and half-square tiles. Find the area of each figure. 1 cm 1 cm 1 cm Limited. Private (Singapore) International © Marshall Cavendish cm2 1 cm cm2 C D 4. Which figure has a larger area? Figure 5. How can you make both figures have the same area? 216 Chapter 19 Area and Perimeter Name: Date: Find the area of each shaded fi gure in square inches. Then complete the table. 1 in. 1 in. XYZ 6. Figure XYZ Area in.2 in.2 in.2 © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish Draw two different fi gures with the same area on the grid. 7. 1 in. 1 in. These inch squares are smaller than in real life. 1 in. 1 in. 8. The area of each fi gure is square inches. 2 2) Lesson 19.2 Square Units (cm and in. 217 Find the area of each shaded fi gure in square inches. Then complete the table. 1 in. 1 in. AB © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish CD 9. Figure ABCD Area in.2 in.2 in.2 in.2 10. Figure and Figure have the same area. 11. Figure has the largest area. 12. Figure has These inch squares are the smallest area. smaller than in real life. 218 Chapter 19 Area and Perimeter Name: Date: Practice 3 Square Units (m2 and ft2) Find the area of each shaded fi gure in square meters. Then complete the table. 1 m 1 m A B C DE © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 1. Figure ABCDE Area m2 m2 m2 m2 m2 2. Which fi gure has the smallest area? Figure 3. Which fi gure has the largest area? Figure 4. Which fi gures have the same area? Figures 2 219 Lesson 19.3 Square Units (m2 and ft ) Find the area of each shaded fi gure in square feet. Then complete the table. 1 ft 1 ft AB C D © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 5. Figure ABCD Area ft2 ft2 ft2 ft2 6. Which fi gure has the largest area? Figure 7. Which fi gure has the smallest area? Figure 220 Chapter 19 Area and Perimeter Name: Date: The figures are made of square and half-square tiles. Find the area of each shaded figure. Then complete the table. 1 m 1 ft 1 m 1 ft A B 1 ft 1 m 1 ft 1 m D C 1 m 1 ft 1 m 1 ft © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish F E 8. Figure Area Remember to show A the correct square units in your answer. B C D E F 2 221 Lesson 19.3 Square Units (m2 and ft ) Make square pieces of paper with an area of 1 square meter and 1 square foot. Use a ruler and scissors to cut out the squares. What is the area of each square? Estimate the area in square meters and square feet. 9. Your kitchen floor About m2 10. Your bed About ft2 Use the square meter and square foot paper to estimate the area of Limited. Private (Singapore) International © Marshall Cavendish these objects in your house. 11. Object Estimate Check Dining Table Top About About Pillowcase About About Cupboard Door About About Television Screen About About Bedroom Floor About About 222 Chapter 19 Area and Perimeter Name: Date: Practice 4 Perimeter and Area Complete. Find the perimeter and area of each shaded fi gure. 1. 1 cm 1 cm A The perimeter of Figure A is centimeters. The area of Figure A is square centimeters. 2. 1 in. 1 in. B The perimeter of Figure B is inches. The area of Figure B is square inches. 3. 1 cm © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 1 cm C The perimeter of Figure C is centimeters. The area of Figure C is square centimeters. These inch squares are 4. 1 in. smaller than in real life. 1 in. D The perimeter of Figure D is inches. The area of Figure D is square inches. 223 Lesson 19.4 Perimeter and Area Complete. Find the perimeter and area of each shaded fi gure. 5. 1 m 1 m A The perimeter of Figure A is meters. The area of Figure A is square meters. 6. 1 ft 1 ft The perimeter of Figure B is feet. B The area of Figure B is square feet. 7. 1 m 1 m Limited. Private (Singapore) International © Marshall Cavendish C The perimeter of Figure C is meters. The area of Figure C is square meters. 8. 1 ft 1 ft D The perimeter of Figure D is feet. The area of Figure D is square feet. 224 Chapter 19 Area and Perimeter Name: Date: Draw two different figures with an area of 5 square centimeters. 9. 1 cm 1 cm 1 cm 1 cm What do you notice about the perimeters of the figures drawn? Draw two different figures with a perimeter of 8 centimeters. 10. 1 cm 1 cm 1 cm 1 cm © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish What do you notice about the areas of the figures drawn? 225 Lesson 19.4 Perimeter and Area Find the perimeter and area of each figure. 11. 1 m 1 m Perimeter ϭ Area ϭ A Remember to show the units in 1 m 12. your answers. 1 m Perimeter ϭ Area ϭ B Write Yes or No. 13. Do Figures A and B have the same area? Limited. Private (Singapore) International © Marshall Cavendish 14. Do Figures A and B have the same perimeter? What is different about perimeter and area? Explain. 15. 226 Chapter 19 Area and Perimeter Name: Date: Find the area. Example Mr. Jones built the following koi pond in his front yard. What is the total area of his koi pond? 9 m 5 m A B 8 m 6 m Area of Figure A ϭ 9 w 5 ϭ 45 m2 Area of Figure B ϭ 8 w 6 ϭ 48 m2 Total area of the koi pond ϭ 45 ϩ 48 © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish ϭ 93 m2 The total area of Mr. Jones’ koi pond is 93 square meters. 227 Lesson 19.4 Perimeter and Area 1. Mr. and Mrs. Meyer want to build a pool in their front yard. They design the following pools. 5 m 8 m E 3 m C 5 m D 7 m F 6 m 5 m 6 m Design A Design B If Mr. and Mrs. Meyer want to build a pool with the largest area, which design should they pick? Area of C ϭ ϭ m2 Area of D ϭ ϭ m2 Total area of Design A ϭ © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish ϭ m2 Area of E ϭ ϭ m2 Area of F ϭ ϭ m2 Total area of Design B ϭ ϭ m2 Mr. and Mrs. Meyer should pick pool design as it has the larger area of square meters. 228 Chapter 19 Area and Perimeter Name: Date: Practice 5 More Perimeter Measure the sides of each figure with a ruler.