Carmen enters a painting in an art contest. The contest rules say that all paintings must be rectangular, with an area no greater than 3,003.04cm. 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.

Question

08-01-2016
Mathematics

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Carmen enters a painting in an art contest. The contest rules say that all paintings must be rectangular, with an area no greater than 3,003.04cm. 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.

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taskmasters taskmasters · Answer 1 · 2016-01-08T09:08:14+01:00

Maximum rectangular area for
the painting that is allowed for the contest = 3003.04 cm^2
Width of Carmen's painting = 16 cm
Let us assume the maximum
Length of Carmen's painting that will be within the contest rules = x cm
We already know that
Area of a rectangle = Length of the rectangle * Breadth of the rectangle
3003.04 = x * 16
x = 3003.04/16 cm
= 187.69 cm
So the length of Carmen's painting should not be greater than 187.69 cm to be within the rules of the contest. I hope the procedure is clear enough for you to understand.