Final Answer:
The maximum length of the rectangle is 850 feet. None of the given options is answer.
Step-by-step explanation:
In determining the maximum length of a rectangle intended as a mural background, Zena possesses ample paint to cover 3825 square feet. With the width of the rectangle specified as 4.5 feet, the optimal length can be calculated to maximize the mural space. The accurate solution, found to be 850 feet, emerges through a systematic application of the rectangle's area formula and careful consideration of the given dimensions.
Area and Width:
Available area: 3825 square feet
Rectangle width: 4.5 feet
Calculating Length:
Area = Length × Width
Length = Area / Width
Length = 3825 square feet / 4.5 feet = 850 feet
Therefore, the maximum length of the rectangle that Zena can paint with the available paint and given width is 850 feet.
None of the given options is answer.