# Lesson 10 Fractional Side Lengths Less Than 1

• Let’s find the area of rectangles with a fractional side length.

## Warm-up Estimation Exploration: What is the Area?

What is the area of the shaded region?

Record an estimate that is:

too low

about right

too high

## Activity 1 Rectangle With a Fractional Side Length

Write a multiplication expression to represent the area of each shaded region. Then find the area.

1.

2.

## Problem 1

1. Write a multiplication expression to represent the area of the shaded region. What is the area?

## Problem 2

Here are two diagrams. Consider each expression and decide whether it represents the shaded region in one of the diagrams. Be prepared to share your thinking.

1. What is the area of the shaded region in figure Y?

2. What is the area of the shaded region in figure X?

## Problem 1

1. What is the area of this rectangle? Explain or show your reasoning.

2. What is the area of the shaded region? Explain or show your reasoning.

3. How are these two area calculations the same? How are they different?