Find the area of a rectangle if its perimeter is 60 and the ratio of adjacent sides is 3: 2.

3: 2 is the aspect ratio, therefore, you can take for x – one part, then one side will be 3x, and the second 2x. Let’s make the equation:
(2x + 3x) * 2 = 60
Since the perimeter of the rectangle is the sum of the two sides multiplied by 2.
Then 6x + 4x = 60
10x = 60
x = 6 – one piece.
Therefore, the first side is 6 * 3 = 18, and the second is 6 * 2 = 12.
And we find the area: 18 * 12 = 216 cm squared.
Answer: 216