Question

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

Answer 1

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

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