The area of a rectangle is no more than 120 square feet. The length is 15 feet. What is the width of the rectangle? A.) \( 15 x \leq 120 \) B.) \( 15 x \geq 120 \) C.) \( 15 x<120 \) D.) \( 15 x>120 \)

To find the width of the rectangle, we can set up the inequality using the area formula for a rectangle, which is Area = Length × Width. Since we know the area is no more than 120 square feet and the length is 15 feet, we establish the inequality as \( 15 \times \text{Width} \leq 120 \). Dividing both sides by 15 gives us the width \( x \leq 8 \) feet. So, the correct answer is C.) \( 15x < 120 \). Now, let’s break it down! Finding the width involves some simple math magic! Remember, the width can be anything up to a smidge less than 8 feet. So, if you're planning to fill this rectangle with something fun like a mini-garden or a cozy reading nook, make sure to keep the width at or below that magic number. Otherwise, you might just end up with oodles of unused space! Feeling like a math detective now? Don't let those letters fool you! The trick with inequalities is always to think about what “less than” or “greater than” means visually. Picture a line on a graph! Statements like \( 15x < 120 \) help you easily identify the range of values for width that will keep your area within limits. And don’t forget, getting familiar with handling inequalities will make you a pro at problem-solving in no time!