Question

Дан параллелограмм abcd. ab =4 ,ad=12,угол bad= 45 градусам. найдите площадь параллелограмма.

Answer 1

Площадь равна произведению сторон на sin угла 
4*12* корень из 2: 2= 24*корень из 2
Примерно это 33,941125 

Answer 2

Given Information:

We are given a parallelogram ABCD with the following information: - AB = 4 - AD = 12 - ∠BAD = 45 degrees

Solution:

To find the area of the parallelogram, we can use the formula: Area = base × height.

In a parallelogram, the base can be any of its sides, and the height is the perpendicular distance between the base and the opposite side.

Since we are given AB = 4 and AD = 12, we can choose AB as the base and find the height.

To find the height, we can use trigonometry. Since we know the angle ∠BAD = 45 degrees, we can use the sine function to find the height.

Let's calculate the height:

Using the sine function: sin(∠BAD) = height / AD

Substituting the values: sin(45) = height / 12

Simplifying: height = 12 × sin(45)

Calculating the value: height = 12 × 0.7071 ≈ 8.4853

Now that we have the height, we can calculate the area:

Area = base × height = AB × height = 4 × 8.4853 ≈ 33.9412

Therefore, the approximate area of the parallelogram ABCD is 33.9412 square units.

Answer:

The approximate area of the parallelogram ABCD is 33.9412 square units.