Question

Сторони чотирикутника пропорцiйнi числам 5,7,8 9, а його периметр дорiвнює 58 см. Чому дорівнює найменша сторона чотирикутника? Відповідь: CM До цього запитання додатково можна прикріпити фай Обрати файл на вашому ПК​

Answer 1

Ответ:

10 см.

Объяснение:

Нехай сторони чотирикутника 5х см, 7х см, 8х см, 9х см. За умовою

5х+7х+8х+9х=58

29х=58;  х=2

Найменша сторона чотирикутника 5*2=10 см.

Answer 2

Proportions of the Quadrilateral

To find the lengths of the sides of the quadrilateral, we can set up proportions using the given numbers: 5, 7, 8, and 9. Let's assume the lengths of the sides are represented by the variables a, b, c, and d, respectively.

We can set up the following proportions:

a/5 = b/7 = c/8 = d/9

Perimeter of the Quadrilateral

The perimeter of a quadrilateral is the sum of the lengths of its four sides. In this case, the perimeter is given as 58 cm.

So, we can write the equation:

a + b + c + d = 58

Finding the Length of the Smallest Side

To find the length of the smallest side, we need to solve the system of equations formed by the proportions and the perimeter equation.

Let's solve the system of equations using the substitution method:

From the proportion a/5 = b/7, we can express a in terms of b:

a = (5/7) * b

Similarly, from the proportion c/8 = d/9, we can express c in terms of d:

c = (8/9) * d

Substituting these expressions into the perimeter equation, we get:

(5/7) * b + b + (8/9) * d + d = 58

Simplifying the equation, we have:

(5/7 + 1) * b + (8/9 + 1) * d = 58

(12/7) * b + (17/9) * d = 58

To eliminate the fractions, we can multiply through by the least common multiple (LCM) of the denominators, which is 63:

63 * [(12/7) * b + (17/9) * d] = 63 * 58

12 * 9 * b + 17 * 7 * d = 63 * 58

108b + 119d = 3654

Solving the Equation

Now we have a linear equation with two variables, b and d. We can solve this equation to find the values of b and d.

However, without additional information or constraints, we cannot determine the exact values of b and d. We can only find the relationship between them.

Conclusion

In conclusion, without additional information or constraints, we cannot determine the exact length of the smallest side of the quadrilateral. The length of the smallest side depends on the relationship between the variables b and d, which we cannot determine without further information.