The dimensions that produce the maximum floor area for a one-story house are 41 feet and 42 feet.
A rectangle is a shape that has 4 sides. The angles in a rectangle add up to 360 degrees.
The area of a rectangle = length x width
The perimeter of a rectangle = 2 x (length + width)
In order to determine the dimensions that produce the maximum area of the floor, the sum of the dimensions have to be determined. The sum of the dimensions can be determined from the perimeter of the rectangle.
166 = 2 x (length + width)
166/2 = (length + width)
83
The second step is to determine the pair of dimensions that add up to 83. The pair that would yield the highest area would be the average of the number 83. This would be 41 and 42 .
To learn more about the perimeter of a rectangle, please check: brainly.com/question/18793958?referrer=searchResults
