Question

На диагонали АС параллелограмма ABCD взяты точки L и K так, что AL = CK = 3/8AC. Найдите площадь четырехугольника BLDK если площадь параллелограмма ABCD =28. На листочке!!! Или тут, но с рисунком. Понятно!!!!

Answer 1

Решение прицеплено в картинке

Answer 2

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Answer 3

Finding the Area of Quadrilateral BLDK

To find the area of quadrilateral BLDK, we need to use the information given in the problem statement. Let's break down the steps to solve this problem:

1. Given that AL = CK = 3/8AC, we can infer that the ratio of AL to AC is 3:8. This means that AL is 3/8 of the length of AC.

2. From the given information, we can also deduce that BL is 2/3 of AL. This implies that the ratio of BL to AL is 2:3.

3. Since we know that the diagonals of a parallelogram bisect each other, we can conclude that LK is parallel to AD and BC.

4. Now, let's consider the area of the parallelogram ABCD. The problem states that the area of ABCD is 28.

5. To find the area of quadrilateral BLDK, we need to subtract the area of triangle ALK from the area of parallelogram ABCD.

6. To calculate the area of triangle ALK, we need to find the base and height of the triangle. The base is LK, and the height is the perpendicular distance from B to LK.

7. Since LK is parallel to AD and BC, the perpendicular distance from B to LK is equal to the perpendicular distance from D to LK. Let's call this distance h.

8. Now, we can calculate the area of triangle ALK using the formula: Area = (base * height) / 2.

9. Finally, we can find the area of quadrilateral BLDK by subtracting the area of triangle ALK from the area of parallelogram ABCD.

Please note that without a diagram, it is difficult to provide a precise numerical solution. However, the steps outlined above should help you solve the problem.