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6-8 Accelerated 6 Unit 3 Lesson 10

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 •Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20 Lesson 21 Lesson 22 Lesson 23

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 3, Lesson 10

Rectangles and Triangles with Fractional Lengths

Accelerated 6

Practice

Problem 1

Find the unknown side length of the rectangle if its area is 11 m². Show your reasoning.

A rectangle that has area labeled 11 meters squared. The side length of one side of the rectangle is labeled three and two thirds meters and the side length of the other side is labeled with a question mark. Each angle has a right angle symbol indicated.
Check your answer by multiplying it by the given side length (\(3\frac 23\)). Is the resulting product 11? If not, revise your previous work.

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Lesson 10 Resources

Student Materials

Problem 2

A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles are square with side lengths \(1\frac13\) feet. How many tiles are needed to cover the entire floor? Show your reasoning.

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Problem 3

The area of a rectangle is \(17\frac12\) in² and its shorter side is \(3\frac12\) in. Draw a diagram that shows this information. What is the length of the longer side?

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Problem 4

The triangle has an area of \(7\frac{7}{8}\) cm² and a base of \(5\frac14\) cm.

What is the length of \(h\)? Explain your reasoning.

A triangle.

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Problem 5

ForLesson 7: Finding an Algorithm for Dividing Fractions

Find the value of \(\frac{5}{32}\div \frac{25}{4}\). Show your reasoning.

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Problem 6

ForLesson 9: Fractional Lengths

A builder is building a fence with \(6\frac14\)-inch-wide wooden boards, arranged side-by-side with no gaps or overlaps. How many boards are needed to build a fence that is 150 inches long? Show your reasoning.

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