Question

PLZ HELP!!!

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?

Answer 1

`187.74\:\mathrm{cm}`

Explanation:

The area of a rectangle is given by
`l\cdot w`. Therefore, we can set up the following inequality:

`l\cdot 16 \leq 3,003.84`.

Solving this inequality, we have:

`l \leq 187.74`.

Therefore, the largest length Carmen's painting can be is
`\fbox{$187.74\:\mathrm{cm}$}`.