Carmen enters a painting in an art contest. The contest rules say that all paintings must be rectangular with an area no greater than 3,003.84 cm2 . Carmen's painting is 16 cm wide.

What is the greatest length the painting can have and still have an area within the contest rules?

Step-by-step explanation:

The area of a rectangle is given by . Therefore, we can set up the following inequality:

.

Solving this inequality, we have:

.

Therefore, the largest length Carmen's painting can be is .

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