Question

Периметр паралеллограмма ABCD равен 48 см разномть двух сторон равен 7 см найти стороны

Answer 1

Cумма 2-х смежных сторон 48/2=24см; если одна сторона х см, то другая 
(х+7) см; х+х+7=24;
                2х=24-7;
                2х=17;
                  х=8,5см; вторая сторона - (8,5+7)=15,5 см.

Answer 2

Perimeter of a Parallelogram

To find the lengths of the sides of a parallelogram given its perimeter and the difference between two sides, we can use the following steps:

1. Let's assume the lengths of the sides of the parallelogram are represented by a and b. 2. The perimeter of a parallelogram is given by the formula: P = 2(a + b), where P is the perimeter. 3. We are given that the perimeter of the parallelogram is 48 cm, so we can write the equation: 48 = 2(a + b). 4. We are also given that the difference between two sides is 7 cm, so we can write another equation: a - b = 7.

To solve these equations simultaneously, we can use substitution or elimination methods. Let's use the elimination method:

1. Multiply the second equation by 2 to make the coefficients of a in both equations the same: 2(a - b) = 2(7), which simplifies to 2a - 2b = 14. 2. Now we have the system of equations: - 48 = 2(a + b) - 2a - 2b = 14 3. Add the two equations together to eliminate b: 48 + 2a - 2b = 2(a + b) + 2a - 2b, which simplifies to 48 + 2a = 4a + 14. 4. Subtract 2a from both sides of the equation: 48 = 4a + 14 - 2a, which simplifies to 48 = 2a + 14. 5. Subtract 14 from both sides of the equation: 48 - 14 = 2a, which simplifies to 34 = 2a. 6. Divide both sides of the equation by 2: 34/2 = a, which simplifies to 17 = a. 7. Now that we have the value of a, we can substitute it back into one of the original equations to find the value of b. Let's use the equation a - b = 7: - 17 - b = 7 - Subtract 7 from both sides of the equation: 17 - 7 = b, which simplifies to 10 = b.

Therefore, the lengths of the sides of the parallelogram are 17 cm and 10 cm.

Note: The search results did not provide direct snippets with the solution to this specific problem. However, the steps provided are a standard method for solving this type of problem.