Question

Биссектриса прямоугольника делит его сторону на отрезки 8 см и 11см. найти периметр

Answer 1

Готово решение. Смотрите фото

Answer 2

Problem Analysis

We are given that the bisector of a rectangle divides one of its sides into segments of 8 cm and 11 cm. We need to find the perimeter of the rectangle.

Solution

Let's assume the rectangle has sides of length a and b. The bisector divides one of the sides into segments of 8 cm and 11 cm. Let's call the length of the shorter segment x and the length of the longer segment y.

According to the problem, we have the following equations: - x + y = a - x + y = b

Since the bisector divides the side into two equal segments, we can set up the following equation: - x = y

Solving these equations, we find that x = 8 cm and y = 11 cm.

Now, we can find the perimeter of the rectangle using the formula: - Perimeter = 2(a + b)

Substituting the values of a and b, we get: - Perimeter = 2(8 + 11) = 2(19) = 38 cm

Therefore, the perimeter of the rectangle is 38 cm.

Answer

The perimeter of the rectangle is 38 cm.