The perimeter of the rectangle ABCD is 48 cm. Find its sides if the AB side is 3 cm less than the AD side.

The perimeter of a rectangle can be found by multiplying the sum of its length and width by two. Let us denote AD = x, and AB = x – 3. Substitute these parameters into the expression for calculating the perimeter:

p = 2 (AD + AB) = 2 (x + x – 3) = 48.

Let’s simplify and solve this equation:

2 (2x – 3) = 48;

4x – 6 = 48;

4x = 48 + 6;

4x = 54;

x = 13.5 cm side length AD.

Now let’s find the AB side:

AB = x – 3 = 13.5 – 3 = 10.5 cm length of the AB side.

Answer AD = 13.5 cm, AB = 10.5 cm.