A rectangle has an area of 2020cm2. All side lengths are a whole number in centimetres. What is the greatest possible number of centimetres in the perimeter of the rectangle

The greatest possible number of centimeters in the perimeter of the rectangle is 1009.

Step-by-step explanation:

The perimeter of a rectangle with length l, and breadth b is given as

P = 2 (l + b)

Since we are told it has an area of 2020 cm²,

This means that

2 (l + b) = 2020

or

l + b = 1010

The length can be 1009cm while the breadth is 1cm l, or vice versa.

So, the greatest possible number of centimeters in the perimeter of the rectangle is 1009