Question

Стороны четырехугольника относятся как 4:5:8:2 а его периметр равен 38 см.Найдите стороны

Answer 1

4ч+5ч+8ч+2ч=38
19ч=38
ч=2
4•2=8
5•2=10
8•2=16
2•2=4

Answer 2

Finding the Sides of the Quadrilateral

To find the sides of the quadrilateral, given that the sides are in the ratio of 4:5:8:2 and the perimeter is 38 cm, we can use the following approach:

1. Understanding the Ratio - The sides of the quadrilateral are in the ratio of 4:5:8:2. - The sum of the ratios is 4 + 5 + 8 + 2 = 19.

2. Calculating the Length of Each Side - Let's assume the common multiplier for the sides is 'x'. - The lengths of the sides can be calculated as follows: - First side: 4x - Second side: 5x - Third side: 8x - Fourth side: 2x

3. Using the Perimeter to Find 'x' - The perimeter of the quadrilateral is given as 38 cm. - We can use the sum of the sides to find the value of 'x' and then calculate the lengths of the sides.

Calculation

The sum of the sides is 4x + 5x + 8x + 2x = 19x.

Given that the perimeter is 38 cm, we can set up the equation: 19x = 38.

Solving for 'x': x = 38 / 19 = 2.

Now, we can find the lengths of the sides: - First side: 4x = 4 * 2 = 8 cm. - Second side: 5x = 5 * 2 = 10 cm. - Third side: 8x = 8 * 2 = 16 cm. - Fourth side: 2x = 2 * 2 = 4 cm.

So, the lengths of the sides of the quadrilateral are: - First side: 8 cm - Second side: 10 cm - Third side: 16 cm - Fourth side: 4 cm