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 \( A= \) lu.
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To find the smallest width Yasin's kitchen could have, we use the area formula \( A = l \times w \). Given that the length \( l = 12 \) feet and the area \( A \geq 96 \) square feet, we can set up the inequality: \( 12w \geq 96 \). Solving for \( w \), we divide both sides by 12: \( w \geq 8 \). Hence, the smallest width that Yasin's kitchen could have is 8 feet. This means his kitchen isn't just spacious but also meets the minimum area requirement for functionality, ensuring that it’s a comfy and efficient space for culinary actions!