Question

Периметр ромба равен 40, а один из углов 30 гр. Найдите площадь ромба.

Answer 1

S=a*b*sin30, a=b=40:4=10, S=10*10*1/2=50

Answer 2

Calculating the Area of a Rhombus

To find the area of a rhombus, we can use the formula: Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals of the rhombus.

Given Information

- The perimeter of the rhombus is 40. - One of the angles in the rhombus is 30 degrees.

Calculating the Diagonals

To find the diagonals of the rhombus, we can use the given information about the perimeter and the angle.

The perimeter of a rhombus can be calculated using the formula: Perimeter = 4 * side length.

Given that the perimeter is 40, we can find the length of one side of the rhombus using the formula: side length = Perimeter / 4.

Let's calculate the side length: ``` side length = 40 / 4 side length = 10 ```

Now, we can use the side length and the given angle to calculate the diagonals of the rhombus.

Calculating the Area

Using the formula for the area of a rhombus, we can calculate the area using the diagonals we found.

I'll calculate the diagonals and then use them to find the area of the rhombus.