Lesson 10: Practice Problems

Problem 1

Find the unknown side length of the rectangle if its area is 11 m². Show your reasoning.
Check your answer by multiplying it by the given side length ( $3 \frac{2}{3}$ ). Is the resulting product 11? If not, revisit your work for the first question.

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 $1 \frac{1}{3}$ feet. How many tiles are needed to cover the entire floor? Show your reasoning.

Problem 3

The area of a rectangle is $17 \frac{1}{2}$ in² and its shorter side is $3 \frac{1}{2}$ in. Draw a diagram that shows this information. What is the length of the longer side?

Problem 4

The triangle has an area of $7 \frac{7}{8}$ cm² and a base of $5 \frac{1}{4}$ cm.

What is the length of $h$ ? Explain your reasoning.

A triangle with a horizontal base labeled five and one fourth centimeters. A horizontal line is extended from the base and to the left. A vertical dashed line is drawn from the top right vertex to the extended base and a right angle symbol is indicated.

Problem 5

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

Problem 6 From Unit 3 Lesson 9

A builder is building a fence with $6 \frac{1}{4}$ -inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to build a fence that is 150 inches long? Show your reasoning.