Answer:
The longer length is either 99, 33 or 11 inches
Step-by-step explanation:
Given
[tex]Area = 99[/tex]
Required
The length of the longer side
Area of a rectangle is:
[tex]Area = Length * Width[/tex]
List out all possible products that give 99 [Assume the dimension are whole numbers]
[tex]Length * Width = 99 * 1 = 99[/tex]
[tex]Length * Width = 33 * 3 = 99[/tex]
[tex]Length * Width = 11 * 9 = 99[/tex]
List out the longer factors
[tex]L = \{99, 33, 11\}[/tex]
Hence, the longer length is either 99, 33 or 11 inches
