https://file.aiquickdraw.com/mathbot/file/1726708090517srec7nhu.jpg

The problem is asking to find the area of a rectangle with the given dimensions.

We can break the problem into the two dimensions provided:

- Length: \( 3 \frac{2}{3} \) cm, which can be written as an improper fraction: 
  \[
  3 \frac{2}{3} = \frac{11}{3}
  \]
- Width: \( 5 \frac{5}{8} \) cm, which can be written as an improper fraction:
  \[
  5 \frac{5}{8} = \frac{45}{8}
  \]

The area \( A \) of a rectangle is calculated by multiplying the length and the width:

\[
A = \text{Length} \times \text{Width} = \frac{11}{3} \times \frac{45}{8}
\]

Let's calculate this.The area of the rectangle is \( 20.625 \, \text{cm}^2 \).

Would you like further details or have any questions?

Here are 5 related questions to expand on this problem:
1. How do you convert a mixed number to an improper fraction?
2. How is the area of a rectangle derived from its dimensions?
3. Can you apply the same method to find the area of other geometric shapes?
4. How can you convert the decimal result back into a fraction if needed?
5. What is the significance of using units (e.g., cm\(^2\)) in area calculations?

**Tip:** When multiplying fractions, you can simplify by canceling common factors between the numerator and denominator before multiplying.

Marisa was finding the area of a rectangle with length 3 2/3 centimeters (cm) and 5 5/8 cm. What is the area of the rectangle?

This problem explores how to find the area of a rectangle with mixed number dimensions, converting them to improper fractions and applying the area formula. It demonstrates step-by-step how to calculate the area of a rectangle with dimensions 3 2/3 cm and 5 5/8 cm.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation