The perimeter of a paralleogram is 140 cm. find lenghts of sides. provide explanation!

The length of the sides of this parallelogram are 40 cm and 30 cm

Step-by-step explanation:

1. Let's check all the information provided to find the length of the sides of the parallelogram:

Perimeter = 140 cm

Length of  the sides: x + 10 and 2x

2. Let's find the value of x and in this way, the length of the sides:

Recall that the perimeter of any parallelogram is the sum of its four sides, thus for this specific parallelogram, we have:

Perimeter = 2x + 2x + x + 10 + x + 10

We know that the perimeter is 140, we substitute in the equation:

140 = 2x + 2x + x + 10 + x +10

140 = 6x + 20

140 - 20 = 6x (Subtracting 20 at both sides)

120 = 6x

120/6 = x (Dividing by 6 at both sides)

20 = x

Now we can calculate the length of the sides:

Lower side is x + 10

20 + 10 = 30 cm

Higher side is 2x

2 * 20 = 40 cm

Perimeter = 30 + 30 + 40 + 40

Perimeter = 140 cm

look a the sides they are perpendicular