the perimeter of a parallelogram is 28 cm and ratio of the adjacent sides is 3:4 find the sides of a parallelogram?

6:8

To find the sides of a parallelogram when given the perimeter and the ratio of the adjacent sides, follow these steps:

Step 1: Understand the problem.
We have a parallelogram with a perimeter of 28 cm and a ratio of 3:4 for the lengths of the adjacent sides.

Step 2: Formulate equations.
Let's assume the lengths of the adjacent sides are 3x and 4x, according to the given ratio. The perimeter of a parallelogram is the sum of all four sides, so we can write the equation: 2(3x + 4x) = 28.

Step 3: Solve the equation.
Simplifying the equation, we get: 14x = 28. Dividing both sides by 14, we find that x = 2.

Step 4: Substitute the value of x.
Now we have the value of x, so we can substitute it back into our original equations to find the lengths of the sides. The lengths of the adjacent sides are 3x and 4x, so substituting x = 2, we get: 3(2) = 6 cm and 4(2) = 8 cm.

Step 5: Verify the solution.
Finally, we can verify our solution by calculating the perimeter using the lengths of the sides we found. 2(6 + 8) = 2(14) = 28 cm, which matches the given perimeter. Therefore, the lengths of the sides of the parallelogram are 6 cm and 8 cm.

need the steps please

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