The bisector of the angle of the rectangle divides its large square into two parts, each of which is 8 cm. Find the perimeter.

1. The bisector divides the right angle into two 45 ° angles
2.After the bisector was drawn, a triangle and a quadrangular figure were obtained
3.By the theorem on the sum of angles in a right-angled triangle, the angles lying at the hypotenuse in the sum are equal to 90 °:
One of them is 45 °, since this is an angle divided by the bisector, so the other is also 45 °, hence the triangle is isosceles
4.Rectangle length 8, width 16
The perimeter is 8 × 2 + 16 × 2 = 48