https://file.aiquickdraw.com/mathbot/file/17267647669327moemhcp.jpg

The problem shows a rectangle with dimensions 3 units by 1 unit, and the goal is to find the area of the shaded region.

From the image:

- The total rectangle is divided into 3 equal parts along its length (each of length 1 unit) and 5 equal parts along its height (each of height \( \frac{1}{5} \)).
- The shaded region covers 3 rows out of the 5 rows.

To find the area of the shaded region:

1. The total area of the full rectangle is:
\[
\text{Total Area} = \text{length} \times \text{width} = 3 \times 1 = 3 \text{ square units}.
\]

2. The shaded area represents \( \frac{3}{5} \) of the total height (since 3 of the 5 horizontal strips are shaded).

Thus, the area of the shaded region is:
\[
\text{Shaded Area} = \frac{3}{5} \times 3 = \frac{9}{5} \text{ square units}.
\]

So, the area of the shaded rectangle is \( \frac{9}{5} \) or 1.8 square units.

Would you like further clarification on any step? Here are 5 related questions for you to explore:

1. How would the calculation change if the total rectangle had different dimensions?
2. What is the area of one individual strip (1 unit by \( \frac{1}{5} \))?
3. Can we calculate the unshaded area instead of the shaded one?
4. What would happen if the shaded region covered 4 rows instead of 3?
5. How could we visualize this problem using fractions and decimals?

**Tip:** When solving area problems involving fractions, it's helpful to break down the problem by calculating part-by-part to avoid confusion.

What is the area of the shaded rectangle in a 3-unit by 1-unit rectangle divided into 5 horizontal strips, where 3 of the 5 strips are shaded?

Learn how to calculate the area of a shaded region in a 3-unit by 1-unit rectangle divided into 5 horizontal strips, where 3 of the 5 strips are shaded. This problem involves understanding geometry, fractions, and the area formula. Suitable for Grades 4-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation