Question

Найти стороны параллелограмма АВСD, если его периметр равен 40 см, а сторона АВ больше ВС на 4 см. С Дано, найти, решение

Answer 1

BC = x => AB = x + 4

2x + 2(x + 4) = 40

4x + 8 = 40

4x = 32

x = 8

AB = CD = 8 + 4 = 12

BC = DA = 8

Answer 2

Given Information

We are given the following information: - The perimeter of the parallelogram ABCD is 40 cm. - The length of side AB is 4 cm longer than side BC.

Solution

To find the sides of the parallelogram ABCD, we can set up the following equations based on the given information:

Let x be the length of side BC. - Side AB = x + 4 cm - Side BC = x cm - Side CD = x + 4 cm - Side AD = x cm

The perimeter of a parallelogram is the sum of all its sides. In this case, the perimeter is given as 40 cm. So we can write the equation:

Perimeter = AB + BC + CD + AD = 40 cm

Substituting the values of the sides, we get:

(x + 4) + x + (x + 4) + x = 40

Simplifying the equation:

4x + 8 = 40 4x = 32 x = 8

Now we can find the lengths of the sides:

- Side AB = x + 4 = 8 + 4 = 12 cm - Side BC = x = 8 cm - Side CD = x + 4 = 8 + 4 = 12 cm - Side AD = x = 8 cm

Therefore, the sides of the parallelogram ABCD are: - AB = 12 cm - BC = 8 cm - CD = 12 cm - AD = 8 cm

Note: It's important to verify the solution using the given information. In this case, we can check if the sum of the sides is equal to the given perimeter of 40 cm:

12 + 8 + 12 + 8 = 40

The sum is indeed equal to 40, so our solution is correct.