Lesson 13: 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

A television screen has length $16 \frac{1}{2}$ inches, width $w$ inches, and area 462 square inches. Select all equations that represent the relationship of the side lengths and area of the television.

$w \cdot 462 = 16 \frac{1}{2}$
$16 \frac{1}{2} \cdot w = 462$
$462 \div 16 \frac{1}{2} = w$
$462 \div w = 16 \frac{1}{2}$
$16 \frac{1}{2} \cdot 462 = w$

Problem 4

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 5 From Unit 4 Lesson 12

A bookshelf is 42 inches long.

How many books of length $1 \frac{1}{2}$ inches will fit on the bookshelf? Explain your reasoning.
A bookcase has 5 of these bookshelves. How many feet of shelf space is there? Explain your reasoning.

Problem 6 From Unit 4 Lesson 11

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

Problem 7 From Unit 4 Lesson 6

How many groups of $1 \frac{2}{3}$ are in each of the following quantities?

$1 \frac{5}{6}$
$4 \frac{1}{3}$
$\frac{5}{6}$

Problem 8 From Unit 2 Lesson 14

It takes $1 \frac{1}{4}$ minutes to fill a 3-gallon bucket of water with a hose. At this rate, how long does it take to fill a 50-gallon tub? If you get stuck, consider using a table.