Question

В четырехугольнике MNPK сторона MN = y см 1) Выразите остольные стороны этого четырехугольника, если : а) NP на 2 см меньше MN б) PK в 1,25 раз больше MN с) MK на 3 см больше PK 2) зная что периметр MNPK равен 37 см и используя данные пункта 1, составьте уравнение. 3) Решите уравнение полученное в пункте 2. Найдите длину MN​Пожалуйста!

Answer 1

Ответ  ...............................................................................................

Answer 2

Given Information:

We are given the following information about the quadrilateral MNPK: - Side MN has a length of y cm. - Side NP is 2 cm shorter than side MN. - Side PK is 1.25 times longer than side MN. - Side MK is 3 cm longer than side PK. - The perimeter of MNPK is 37 cm.

Expressing the Other Sides of the Quadrilateral:

To express the lengths of the other sides of the quadrilateral MNPK, we can use the given information as follows:

a) Side NP is 2 cm shorter than side MN: - Length of NP = Length of MN - 2 cm

b) Side PK is 1.25 times longer than side MN: - Length of PK = 1.25 * Length of MN

c) Side MK is 3 cm longer than side PK: - Length of MK = Length of PK + 3 cm

Writing the Equation:

To find the length of side MN, we can write the equation for the perimeter of the quadrilateral MNPK:

Perimeter = Sum of all sides

Given that the perimeter of MNPK is 37 cm, we can write the equation as follows:

Length of MN + Length of NP + Length of PK + Length of MK = 37 cm

Substituting the expressions for the other sides obtained in the previous step, we have:

y + (y - 2) + (1.25 * y) + ((1.25 * y