Question

A rectangle has an area of 99 square in. What is the length of the long side?

Answer 1

Answer:

The longer length is either 99, 33 or 11 inches

Step-by-step explanation:

Given

$Area = 99$

Required

The length of the longer side

Area of a rectangle is:

$Area = Length * Width$

List out all possible products that give 99 [Assume the dimension are whole numbers]

$Length * Width = 99 * 1 = 99$

$Length * Width = 33 * 3 = 99$

$Length * Width = 11 * 9 = 99$

List out the longer factors

$L = \{99, 33, 11\}$

Hence, the longer length is either 99, 33 or 11 inches