Name TOPIC 13 Set A pages 701–712 You can find the perimeter by counting unit segments. Remember the distance around a figure is its perimeter. Reteaching In 1 through 3, find the perimeter of each figure. 1. 5 1 cm The perimeter of this shape is 16 centimeters. You can find the perimeter of a shape by adding the lengths of the sides. 10 cm 5 1 in. 2. 6 cm 12 cm 6 cm 6 cm 8 cm 12 cm 6 cm 10 cm 3. 10 + 10 + 8 + 6 + 6 = 40 The perimeter of this shape is 40 centimeters. 5m 5m 3m 5m 4m 1m 4m 1m Set B pages 713–718 Count the square units inside the shape. The exact count is the area of the shape. Remember area is the number of square units needed to cover a region. A square unit is a square with sides that are each 1 unit long. In 1 and 2, count to find the area. 1. There are 17 squares inside the shape. The area of the shape is 17 square units. 2. Topic 13 Reteaching 763 Set C pages 719–730 Remember that a square unit is a square with sides that are each 1 unit long. You can use standard units of length for square units. What is the area of the figure below? 6 in. In 1 and 2, count the square units. Then, write the area. 4 in. 1. 4 ft 5 1 square in. 4 ft 1 square unit = 1 square inch The figure covers 24 square units. The area of the figure is measured in square inches. 2. 7 cm So, the area of the figure is 24 square inches. 6 cm Set D pages 731–736 You can find area by counting the number of rows and multiplying by the number of squares in each row. In 1 through 3, find the area of each figure. Use grid paper to help. 4 squares in each row 4 in. 5 rows Remember that you can multiply the number of rows by the number of squares in each row to find the area. 1. 5 in. 6 ft 3 ft 2. There are 5 rows. There are 4 squares in each row. 8 cm 4 cm 5 × 4 = 20 The area of the figure is 20 square inches. 3. 8 yd 2 yd 764 © Pearson Education, Inc. 3 Name TOPIC 13 Set E pages 737–742 You can use the Distributive Property to break apart facts to find the product. Separate the 5 unit side into two parts. 5 2 Area of the large rectangle: 6 × 5 = 30 3 Areas of the small rectangles: 6 × 2 = 12 6 × 3 = 18 6 Remember that you can separate a rectangle into two smaller rectangles with the same total area. Reteaching Continued Write the equations that represent the picture. Find the area. 1. Add the two areas: 12 + 18 = 30 You can write a number sentence to show that the area of the large rectangle is equal to the sum of the areas of the two small rectangles. 2. 6 × 5 = 6 × (2 + 3) = (6 × 2) + (6 × 3) Set F pages 743–748 Find the area of this irregular shape. 3 in. 2 in. 5 in. A B 3 in. Remember that to find the area of an irregular shape, you can count square units or divide the shape into rectangles. In 1 and 2, find the area of each irregular shape. Use grid paper to help. 1. Divide the shape into rectangles. Find the area of each rectangle and add. A = 5 × 3 = 15 square inches B = 3 × 2 = 6 square inches 2. 4 ft 15 + 6 = 21 square inches 6 ft 8 ft 3 ft 10 ft Topic 13 Reteaching 765 Set G pages 749–754 You can use equal areas to model unit fractions. Remember that you can label equal parts of a rectangle with a unit fraction. Draw a line to separate the rectangle into 3 equal parts. Since each part has the same area, it is 13 of the whole. Show two ways to separate the rectangles into equal parts. Write the fraction that shows the area of one of the parts. 1. 4 equal parts Draw a line to separate the same rectangle into 3 equal parts a different way. Since each part has the same area, it is 13 of the whole. Set H pages 755–760 Joan wants to paint part of a wall in her room. The shaded part of the figure below shows the part of the wall she wants to paint blue. What is the area of the part of the wall that gets blue paint? Remember that you can break a problem into simpler problems to solve. Solve. Use simpler problems. 1. Debra made this design from 1-inch square tiles. What area of the design did she make with blue tiles? 5 1 square ft Area of the whole rectangle: 8 × 5 = 40 Area of the non-shaded rectangle: 3 × 4 = 12 Subtract: 40 - 12 = 28 The area of the wall that gets paint is 28 square feet. 766 © Pearson Education, Inc. 3
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