Question

В прямоугольнике диагонали пересекаются под углом 60 градусов, а сумма диагонали и меньшей стороны равна 36. Прощадь прямоугольника равна?

Answer 1

Решение в скане........

Answer 2

Calculation of the Rectangle's Area

To find the area of a rectangle, we need to know the lengths of its sides. In this case, we are given that the diagonals of the rectangle intersect at a 60-degree angle, and the sum of the diagonal and the smaller side is equal to 36.

Let's assume that the lengths of the two sides of the rectangle are a and b, with a being the smaller side. We can use the given information to set up the following equations:

1. The sum of the diagonal and the smaller side is equal to 36: a + diagonal = 36.

2. The diagonals intersect at a 60-degree angle, which means they form an equilateral triangle with the smaller side: a = diagonal.

By substituting equation 2 into equation 1, we can solve for the value of a:

a + a = 36, 2a = 36, a = 18.

Now that we know the value of a, we can calculate the area of the rectangle using the formula:

Area = a * b.

Since we don't have the value of b, we cannot calculate the exact area of the rectangle. However, we can provide the formula for the area using the given information:

Area = 18 * b.

Please note that without the value of b, we cannot determine the exact area of the rectangle.