Fractions and Decimals

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Fractions and Decimals Lesson 12 Fractions and Decimals Perimeter with Fractions

Warm-up Simplify .

Perimeter with Fractions Target: Add lengths, including fractions and mixed numbers, of the sides of polygons to find perimeters.

Vocabulary Perimeter: The distance around a closed figure. Polygon: A closed figure formed by three or more line segments.

Finding Perimeter Measure all sides (if necessary). Add the lengths of all sides together.

Example 1 Find the perimeter of the rectangle in inches. Use a ruler to measure. Add all sides. Simplify. The perimeter is 2 inches.

Example 2 Find the perimeter. Add all sides. Change mixed numbers to improper fractions. Use the LCD to write equivalent fractions. Add. Simplify. The perimeter is inches.

Example 3 Brayden went for a walk in Portland. He walked in a rectangular pattern around a city block. First he walked yards. He turned right and walked yards. He turned right two more times and ended up where he started. What was the perimeter of the city block?

Example 3 (continued) Add all sides. Use the LCD to write equivalent fractions. Add. Simplify. The perimeter of the city block was .

Example 4 Find the perimeter. Add sides together. (All sides of a square are the same length) Simplify. The perimeter of the square is 6 inches.

Exit Problems What is the perimeter of a rectangle that is inches long and inches wide? What is the perimeter of a triangle with sides that measure: inches, inches and inches? What is the perimeter of a square with a side that measures inch?

Communication Prompt Why should you know how to find the perimeter of an object?