Question

В 4-угольнике ABCD AB=х см BC на 1 см меньше AB CD В 1,52 раза больше AB AD на 1 см больше CD Составьте уравнение, зная что периметр ABCD равен 12,6 см Решите полученное уравнение Найдите все 4 стороны четырёхугольника Заранее спасибо!

Answer 1

BC=X-1 AB=x CD=1,52*x AD=1,52*x+1 P=12,6 12,6=(x-1)+x+1,52*x+(1,52*x+1)=x-1+x+1,52*x+1,52*x+x=2x+3,04*x=5,04x 5,04x=12,6 X=2,5 AB=2,5 BC=4,5 CD=3,8 AD=4,8

Answer 2

Problem Analysis

We are given a quadrilateral ABCD with the following information: - AB = x cm - BC is 1 cm less than AB - CD is 1.52 times greater than AB - AD is 1 cm greater than CD - The perimeter of ABCD is 12.6 cm

We need to find the lengths of all four sides of the quadrilateral.

Solution

Let's break down the problem step by step.

1. Let's assign variables to the lengths of the sides: - AB = x cm - BC = x - 1 cm - CD = 1.52x cm - AD = 1.52x + 1 cm

2. The perimeter of the quadrilateral is the sum of the lengths of all four sides: - Perimeter = AB + BC + CD + AD = 12.6 cm

3. Substitute the values of the sides into the perimeter equation: - x + (x - 1) + 1.52x + (1.52x + 1) = 12.6 cm

4. Simplify the equation: - 4.04x + 1 = 12.6 cm

5. Subtract 1 from both sides of the equation: - 4.04x = 11.6 cm

6. Divide both sides of the equation by 4.04: - x = 2.871 cm

7. Now that we have the value of x, we can find the lengths of all four sides: - AB = x = 2.871 cm - BC = x - 1 = 1.871 cm - CD = 1.52x = 4.366 cm - AD = 1.52x + 1 = 5.366 cm

Answer

The lengths of the four sides of the quadrilateral ABCD are as follows: - AB = 2.871 cm - BC = 1.871 cm - CD = 4.366 cm - AD = 5.366 cm