Section C
For each of the following problems, write the inequalty, solve It , and cescnbe the sclution based on the context of the original problem.
Questicn 9: The length of Yasin’s rectangular kitchen is 12 feet. If the area of the roorn is at least 96 square feet, what is the smallest width the room could have? Remember, the formula for
the area of a reclangle is lu.

Question

Section C
For each of the following problems, write the inequalty, solve It , and cescnbe the sclution based on the context of the original problem.
Questicn 9: The length of Yasin’s rectangular kitchen is 12 feet. If the area of the roorn is at least 96 square feet, what is the smallest width the room could have? Remember, the formula for
the area of a reclangle is

lu.

UpStudy AI · Accepted Answer

**Problem 9**

*The length of Yasin's rectangular kitchen is 12 feet. If the area of the room is at least 96 square feet, what is the smallest width the room could have? Remember, the formula for the area of a rectangle is $$ A = l \times w $$.*

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### 1. **Write the Inequality**

Given:
- Length ($$ l $$) = 12 feet
- Area ($$ A $$) ≥ 96 square feet

Using the area formula:
$$ A = l \times w $$

Substitute the known values:
$$ 12 \times w \geq 96 $$

So, the inequality is:
$$ 12w \geq 96 $$

### 2. **Solve the Inequality**

To find the smallest possible width ($$ w $$), solve for $$ w $$:

$$ 12w \geq 96 $$

Divide both sides by 12:
$$ w \geq \frac{96}{12} $$
$$ w \geq 8 $$

### 3. **Describe the Solution in Context**

The smallest width Yasin's kitchen can have is **8 feet**. This ensures that the area of the kitchen is at least 96 square feet. Therefore, to meet or exceed the minimum area requirement, Yasin should ensure that the width of his rectangular kitchen is **8 feet or more**.
The smallest width the room could have is 8 feet.

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