Question
Lnsson 16 smssion a A rectangular yoga mat has an area of 24 square feet. Its length is 6 feet. What is the width of the yoga mat? Show your work.
Ask by French Collins. in the United States
Jan 23,2025
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Tutor-Verified Answer
Answer
The width of the yoga mat is 4 feet.
Solution
Sure, let's solve the problem step by step.
**Problem:**
A rectangular yoga mat has an area of 24 square feet. Its length is 6 feet. What is the width of the yoga mat?
**Solution:**
1. **Understand the Formula for Area of a Rectangle:**
The area \( A \) of a rectangle is calculated using the formula:
\[
A = \text{Length} \times \text{Width}
\]
2. **Plug in the Known Values:**
You are given:
- Area (\( A \)) = 24 square feet
- Length (\( L \)) = 6 feet
Substitute these values into the formula:
\[
24 = 6 \times \text{Width}
\]
3. **Solve for the Width:**
To find the width (\( W \)), divide both sides of the equation by the length (6 feet):
\[
\text{Width} = \frac{24}{6}
\]
\[
\text{Width} = 4 \text{ feet}
\]
4. **Answer:**
The width of the yoga mat is **4 feet**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To find the width of the yoga mat, you can use the formula for the area of a rectangle, which is: Area = Length × Width Given that the area is 24 square feet and the length is 6 feet, we can set up the equation: 24 = 6 × Width To find the width, divide both sides by 6: Width = 24 ÷ 6 Width = 4 feet So, the width of the yoga mat is 4 feet.
