Find the area of a rectangle if its perimeter is 40. and one side is 2 larger than the other

Let us determine what the semi-perimeter of our rectangle will be if we know from the condition of the task that its perimeter is 40:

40: 2 = 20.

Let us determine what its semiperimeter would be if it were a square with a side equal to the larger side of the rectangle, if it is known that it is 2 more than the smaller side:

20 + 2 = 22.

Let’s define what the big side is equal to:

22: 2 = 11.

Let’s define what is the smaller side:

11 – 2 = 9.

Let’s determine what the area will be equal to:

11 * 9 = 99.

Answer: 99.