Calculate the perimeter of a rectangle if its side is 24 cm and the diagonal is 25 cm.

From the condition, he knows that the side of the rectangle is 24 cm, and its diagonal is 25 cm.

In order to find the perimeter of a rectangle, we first need to find the lengths of the sides of the rectangle.

Consider a right-angled triangle formed by the sides of a rectangle (legs) and its diagonal (hypotenuse).

To find the unknown leg, we use the Pythagorean theorem.

24 ^ 2 + x ^ 2 = 25 ^ 2;

576 + x ^ 2 = 625;

x ^ 2 = 625 – 576;

x ^ 2 = 49;

x = 7 cm the length of the second side of the rectangle.

We are looking for the perimeter by the formula:

P = 2 (a + b) = 2 (7 + 24) = 2 * 31 = 62 cm.