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